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A099932 Triangle read by rows: nonzero coefficients of polynomials 2^n*E(n,x), with E the Euler polynomials.

%I A099932 #2 Apr 30 2014 01:27:34
%S A099932 1,2,-1,4,-4,8,-12,2,16,-32,16,32,-80,80,-16,64,-192,320,-192,128,
%T A099932 -448,1120,-1344,272,256,-1024,3584,-7168,4352,512,-2304,10752,-32256,
%U A099932 39168,-7936,1024,-5120,30720,-129024,261120,-158720,2048,-11264
%N A099932 Triangle read by rows: nonzero coefficients of polynomials 2^n*E(n,x), with E the Euler polynomials.
%e A099932 1,
%e A099932 2*x - 1,
%e A099932 4*x^2 - 4*x,
%e A099932 8*x^3 - 12*x^2 + 2,
%e A099932 16*x^4 - 32*x^3 + 16*x,
%e A099932 32*x^5 - 80*x^4 + 80*x^2 - 16,
%e A099932 64*x^6 - 192*x^5 + 320*x^3 - 192*x
%Y A099932 With zeros: A004174/A004175.
%Y A099932 Row sums and constant terms are (-1)^n*A009006.
%K A099932 sign,tabf
%O A099932 0,2
%A A099932 _Ralf Stephan_, Nov 06 2004