login
A373075
Number of partitions of n such that (smallest part) > 4*(number of parts).
4
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 14, 15, 17, 18, 20, 22, 24, 26, 29, 31, 34, 37, 40, 43, 47, 50, 54, 58, 62, 66, 71, 75, 80, 85, 90, 95, 101, 106, 113, 119, 126, 133, 142, 149, 159, 168, 179, 189, 202
OFFSET
0,19
COMMENTS
This sequence is different from A350894.
FORMULA
G.f.: Sum_{k>=0} x^(4*k^2+k)/Product_{j=1..k} (1-x^j).
PROG
(PARI) my(N=80, x='x+O('x^N)); Vec(sum(k=0, N, x^(4*k^2+k)/prod(j=1, k, 1-x^j)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 22 2024
STATUS
approved