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

1, 2, -1, 4, -4, 8, -12, 2, 16, -32, 16, 32, -80, 80, -16, 64, -192, 320, -192, 128, -448, 1120, -1344, 272, 256, -1024, 3584, -7168, 4352, 512, -2304, 10752, -32256, 39168, -7936, 1024, -5120, 30720, -129024, 261120, -158720, 2048, -11264

Offset

0,2

Links

Table of n, a(n) for n=0..42.

Example

1,
2*x - 1,
4*x^2 - 4*x,
8*x^3 - 12*x^2 + 2,
16*x^4 - 32*x^3 + 16*x,
32*x^5 - 80*x^4 + 80*x^2 - 16,
64*x^6 - 192*x^5 + 320*x^3 - 192*x

Crossrefs

With zeros: A004174/A004175.

Row sums and constant terms are (-1)^n*A009006.

Sequence in context: A300622 A195691 A074763 * A175000 A355020 A008346

Adjacent sequences: A099929 A099930 A099931 * A099933 A099934 A099935

Keyword

sign,tabf

Author

Ralf Stephan, Nov 06 2004

Status

approved