A374406 Number of ways to write n as an ordered sum of a triangular number, a square and a hexagonal number.

1, 3, 3, 2, 3, 3, 3, 5, 3, 2, 6, 5, 3, 3, 1, 5, 9, 5, 3, 5, 5, 4, 7, 3, 2, 9, 5, 4, 5, 6, 6, 8, 8, 2, 6, 4, 5, 11, 8, 3, 6, 5, 4, 9, 4, 7, 11, 8, 2, 5, 8, 7, 13, 5, 6, 10, 7, 6, 4, 7, 8, 9, 4, 2, 11, 12, 5, 12, 6, 3, 15, 10, 6, 9, 7, 4, 12, 6, 5, 8, 9, 10, 14, 7, 4, 15, 4, 9, 7, 4, 5, 12, 15, 7, 10, 10, 7, 13, 10, 3

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: (Sum_{k>=0} x^(k*(k+1)/2)) * (Sum_{k>=0} x^(k^2)) * (Sum_{k>=0} x^(k*(2*k-1))).

Crossrefs

Cf. A000217, A000290, A000384, A160324, A240088.

Sequence in context: A327465 A079063 A031352 * A245885 A188834 A276575

Adjacent sequences: A374403 A374404 A374405 * A374407 A374408 A374409

Keyword

nonn

Author

Seiichi Manyama, Jul 08 2024

Status

approved