An explicit formula for the number of solutions of X^2=0 in triangular matrices over GF(q) (To appear in Elec. J. Comb.)

Some problems are impossible to resist. For me, any problem that contains recurrences or q- are irresistible. If they contain both, then I am really hooked. That's what happened when Sasha Kirillov told me about the problem described and solved in this paper.

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Added Aug. 21, 2006: Jiang Zeng pointed out that the ftp address for Christian Krattenthaler's "classical" proof is no longer valid. Here is Christian Krattenthaler's message

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