A331998 Triangle of coefficients of quasi-Stirling polynomials.

1, 1, 3, 1, 13, 16, 1, 39, 171, 125, 1, 101, 1091, 2551, 1296, 1, 243, 5498, 28838, 43653, 16807, 1, 561, 24270, 243790, 780585, 850809, 262144, 1, 1263, 98661, 1733035, 10073955, 22278189, 18689527, 4782969, 1, 2797, 379693, 10996369, 106215619, 410994583, 677785807, 457947691, 100000000

Offset: 1

Author

Michel Marcus, Feb 05 2020

Keywords

• nonn
• tabl

Examples

			Triangle begins
1;
1, 3;
1, 13, 16;
1, 39, 171, 125;
1, 101, 1091, 2551, 1296;
1, 243, 5498, 28838, 43653, 16807;
		

Links

• Sergi Elizalde, Descents on quasi-Stirling permutations, arXiv:2002.00985 [math.CO], 2020. See p. 7.

Programs

PARI

A(t, z) = (1-t)/(1 - t*exp((1-t)*z));
Q(n, t) = (n!/(n+1))*polcoeff(A(t, z)^(n+1), n, z);
row(n) = my(rowx = Vec(Q(n, t))); vector(n, k, rowx[k]);