OFFSET
0,12
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1350 (rows 0..20)
FORMULA
EXAMPLE
Triangle begins:
[0] 1;
[1] 1;
[2] 1, 0;
[3] 1, 0, 0, 1;
[4] 1, 0, 0, 4, 3, 6, 1;
[5] 1, 0, 0, 10, 15, 42, 90, 100, 45, 10, 1;
[6] 1, 0, 0, 20, 45, 162, 595, 1590, 3075, 3655, 2703, 1335, 455, 105, 15, 1;
PROG
(PARI) \\ row(n) gives n-th row as vector.
row(n)={my(A=x/exp(x*y + O(x*x^n))); Vecrev(polcoef(serlaplace(exp(y*x^2/2 + O(x*x^n)) * sum(k=0, n, (1 + y)^binomial(k, 2)*A^k/k!)), n), 1 + binomial(n, 2))}
{ for(n=0, 6, print(row(n))) }
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Andrew Howroyd, Feb 07 2024
STATUS
approved