A373427 - OEIS

A373427

Triangle read by rows: Coefficients of the polynomials SC(n, x) * EZ(n, x), where SC denote the Stirling cycle polynomials and EZ the Eulerian zig-zag polynomials A205497.

1, 0, 1, 0, 1, 1, 0, 2, 5, 4, 1, 0, 6, 29, 45, 30, 9, 1, 0, 24, 218, 553, 629, 366, 112, 17, 1, 0, 120, 1954, 7781, 13409, 12136, 6270, 1894, 326, 29, 1, 0, 720, 20484, 125968, 313715, 407297, 308286, 143725, 42124, 7683, 830, 47, 1

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OFFSET

0,8

LINKS

Table of n, a(n) for n=0..50.

Peter Luschny, Illustrating the polynomials.

EXAMPLE

Tracing the computation:

0: [1] * [1] = [1]

1: [1] * [0, 1] = [0, 1]

2: [1] * [0, 1, 1] = [0, 1, 1]

3: [1, 1] * [0, 2, 3, 1] = [0, 2, 5, 4, 1]