OFFSET
1,20
COMMENTS
The number of nonzero terms in the n-th row is A083920(n-1). - Hugo Pfoertner, Feb 01 2024
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..1275 (rows 1..50; first 24 rows from Hugo Pfoertner)
FORMULA
Bivariate inverse Euler transform of A369932. - Andrew Howroyd, Feb 07 2024
EXAMPLE
The triangle begins
0;
0, 0;
0, 0, 1;
0, 0, 0, 1;
0, 0, 0, 1, 1;
0, 0, 0, 1, 3, 1;
0, 0, 0, 0, 3, 5, 1;
0, 0, 0, 0, 2, 11, 8, 1;
0, 0, 0, 0, 1, 15, 31, 12, 1;
0, 0, 0, 0, 1, 12, 63, 71, 16, 1;
PROG
(PARI) \\ Needs G() defined in A369932.
InvEulerMTS(p)={my(n=serprec(p, x)-1, q=log(p), vars=variables(p)); sum(i=1, n, moebius(i)*substvec(q + O(x*x^(n\i)), vars, apply(v->v^i, vars))/i)}
T(n)={my(r=Vec(InvEulerMTS(substvec(G(n), [x, y], [y, x])))); vector(#r-1, i, Vecrev(Pol(r[i+1]/y), i)) }
{ my(A=T(12)); for(i=1, #A, print(A[i])) } \\ Andrew Howroyd, Feb 07 2024
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Hugo Pfoertner, May 21 2021
STATUS
approved