A393970 Number of partitions p of n into distinct parts such that max(p) < 3*min(p).

1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 5, 4, 5, 7, 8, 7, 8, 10, 11, 12, 14, 15, 16, 17, 20, 22, 24, 26, 28, 32, 33, 36, 40, 44, 48, 52, 55, 61, 66, 70, 75, 83, 89, 97, 105, 112, 119, 127, 138, 149, 160, 171, 183, 198, 211, 225, 240, 257, 274, 295, 313, 335, 358, 380, 406, 432, 459, 490

Offset

1,3

Links

Table of n, a(n) for n=1..68.

Formula

G.f.: Sum_{j>=1} q^j * Product_{k=j+1..3*j-1} (1+q^k).

Crossrefs

Cf. A240874, A241063, A393971.

Sequence in context: A127685 A127687 A024156 * A241316 A241312 A075989

Adjacent sequences: A393967 A393968 A393969 * A393971 A393972 A393973

Keyword

nonn

Author

Seiichi Manyama, Mar 05 2026

Status

approved