On a Luschny question
Abstract
Let En(x) be Euler polynomial, 2(n) be 2-adic order of n, \g(n)\ be the characteristic sequence for \2n-1\n≥1. Recently Peter Luschny asked (cf. 5, sequence A290646): is for n≥1 A290646=A135517? According to A135517, A091090 and a formula there, this question is equivalent to the following one: is, for n≥1, the denominator of En(x) - En(1) equal to 22(n+1)-g(n)? In this note we answer in the affirmative on this question.
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