The largest integer not representable as a distinct sum of values of p(j) fo\ (j + 1) (j + 2) r p(j)=, ---------------, with j>=j0 in at least, C, 2 different ways for j0 from 0 to, 5, and C from 1 to, 5 By Shalosh B. Ekhad The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 0, in at least , 1, 2 different ways is, 33 In order to prove this fact you need to check this for all positive integers\ <=, 105, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 0, in at least , 2, 2 different ways is, 33 In order to prove this fact you need to check this for all positive integers\ <=, 105, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 0, in at least , 3, 2 different ways is, 51 In order to prove this fact you need to check this for all positive integers\ <=, 210, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 0, in at least , 4, 2 different ways is, 57 In order to prove this fact you need to check this for all positive integers\ <=, 253, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 0, in at least , 5, 2 different ways is, 78 In order to prove this fact you need to check this for all positive integers\ <=, 435, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 1, in at least , 1, 2 different ways is, 50 In order to prove this fact you need to check this for all positive integers\ <=, 210, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 1, in at least , 2, 2 different ways is, 71 In order to prove this fact you need to check this for all positive integers\ <=, 378, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 1, in at least , 3, 2 different ways is, 78 In order to prove this fact you need to check this for all positive integers\ <=, 435, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 1, in at least , 4, 2 different ways is, 95 In order to prove this fact you need to check this for all positive integers\ <=, 630, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 1, in at least , 5, 2 different ways is, 99 In order to prove this fact you need to check this for all positive integers\ <=, 666, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 2, in at least , 1, 2 different ways is, 113 In order to prove this fact you need to check this for all positive integers\ <=, 861, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 2, in at least , 2, 2 different ways is, 113 In order to prove this fact you need to check this for all positive integers\ <=, 861, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 2, in at least , 3, 2 different ways is, 113 In order to prove this fact you need to check this for all positive integers\ <=, 861, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 2, in at least , 4, 2 different ways is, 132 In order to prove this fact you need to check this for all positive integers\ <=, 1128, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 2, in at least , 5, 2 different ways is, 168 In order to prove this fact you need to check this for all positive integers\ <=, 1770, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 3, in at least , 1, 2 different ways is, 118 In order to prove this fact you need to check this for all positive integers\ <=, 903, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 3, in at least , 2, 2 different ways is, 132 In order to prove this fact you need to check this for all positive integers\ <=, 1128, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 3, in at least , 3, 2 different ways is, 183 In order to prove this fact you need to check this for all positive integers\ <=, 2080, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 3, in at least , 4, 2 different ways is, 183 In order to prove this fact you need to check this for all positive integers\ <=, 2080, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 3, in at least , 5, 2 different ways is, 204 In order to prove this fact you need to check this for all positive integers\ <=, 2556, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 4, in at least , 1, 2 different ways is, 173 In order to prove this fact you need to check this for all positive integers\ <=, 1891, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 4, in at least , 2, 2 different ways is, 194 In order to prove this fact you need to check this for all positive integers\ <=, 2346, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 4, in at least , 3, 2 different ways is, 213 In order to prove this fact you need to check this for all positive integers\ <=, 2775, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 4, in at least , 4, 2 different ways is, 228 In order to prove this fact you need to check this for all positive integers\ <=, 3160, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 4, in at least , 5, 2 different ways is, 258 In order to prove this fact you need to check this for all positive integers\ <=, 4005, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 5, in at least , 1, 2 different ways is, 213 In order to prove this fact you need to check this for all positive integers\ <=, 2775, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 5, in at least , 2, 2 different ways is, 215 In order to prove this fact you need to check this for all positive integers\ <=, 2850, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 5, in at least , 3, 2 different ways is, 261 In order to prove this fact you need to check this for all positive integers\ <=, 4095, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 5, in at least , 4, 2 different ways is, 282 In order to prove this fact you need to check this for all positive integers\ <=, 4753, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) lynomial p(j)=, ---------------, with j>=, 5, in at least , 5, 2 different ways is, 303 In order to prove this fact you need to check this for all positive integers\ <=, 5460, that we did!