A393973 Number of partitions p of n such that max(p) <= 3*min(p).

1, 2, 3, 5, 6, 9, 11, 15, 17, 23, 26, 34, 37, 47, 53, 65, 71, 87, 96, 116, 126, 149, 164, 195, 211, 246, 270, 312, 339, 393, 427, 489, 532, 604, 660, 749, 810, 915, 997, 1120, 1213, 1361, 1475, 1648, 1789, 1985, 2154, 2394, 2587, 2863, 3103, 3422, 3700, 4080, 4409, 4845, 5234

Offset

1,2

Links

Table of n, a(n) for n=1..57.

Formula

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

Crossrefs

Cf. A237824, A237825, A393972.

Sequence in context: A319469 A341123 A365877 * A325863 A341868 A342497

Adjacent sequences: A393970 A393971 A393972 * A393974 A393975 A393976

Keyword

nonn

Author

Seiichi Manyama, Mar 05 2026

Status

approved