Help:=proc() : print(` MK(n), MA(m) `): end:


with(combinat):
#MK(n): The left side of AMM problem 11545 (proposed by
#Manuel Kauers and Sheng-Lan Ko
MK:=proc(n) local k: 
add((-1)^k*binomial(2*n,n+k)*stirling1(n+k,k),k=0..n):
end:
with(numtheory):
MA:=proc(m)
add(phi(2*k+1)*trunc((m+k)/(2*k+1)),k=0..m-1):
end: