login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A321949
Column k=4 of triangle A257673.
3
1, 12, 78, 376, 1509, 5340, 17234, 51796, 147054, 398388, 1037560, 2612520, 6387965, 15221412, 35446980, 80865304, 181076216, 398660292, 864186408, 1846759404, 3894731430, 8113669352, 16710519860, 34049851236, 68687627812, 137257430140, 271842916654
OFFSET
4,2
LINKS
FORMULA
G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^4. - Ilya Gutkovskiy, Jan 30 2021
MAPLE
b:= proc(n, k) option remember; `if`(n=0, 1, k*add(
b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)
end:
a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(4):
seq(a(n), n=4..35);
CROSSREFS
Column k=4 of A257673.
Sequence in context: A341225 A124863 A022577 * A227707 A189493 A199492
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Nov 22 2018
STATUS
approved