A369339 Number of partitions of n into triangular numbers not greater than sqrt(n).

1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 49, 49, 49, 56, 56, 56, 64, 64, 64, 72, 72, 72, 81, 81, 81, 90, 90, 90, 100, 100, 100, 110, 110, 110, 121, 121, 121, 132, 132, 132, 144, 144, 144, 156, 156

Offset: 0

Author

Ilya Gutkovskiy, Jan 20 2024

Keywords

• nonn

Crossrefs

Cf. A007294, A097356.

Programs

Mathematica

Table[SeriesCoefficient[Product[1/(1 - x^(k (k + 1)/2)), {k, 1, Floor[(Sqrt[1 + 8 Sqrt[n]] - 1)/2]}], {x, 0, n}], {n, 0, 70}]