A332005 Number of compositions (ordered partitions) of n into distinct centered triangular numbers.

1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 6, 0, 0, 0, 1, 2, 0, 0, 2, 6, 0, 0, 0, 0, 2, 6, 1, 2, 6, 24, 2, 6, 0, 0, 0, 0, 2, 6, 0, 0, 6, 25, 2, 0, 0, 4, 12, 0, 0, 6, 24, 2, 6, 0, 0, 12, 48, 0, 0, 25, 124, 6, 0, 2, 12, 24, 0, 0, 0, 2, 12, 24, 2, 12, 48, 120, 6, 24, 2, 6, 1, 2, 12

Offset: 0

Author

Ilya Gutkovskiy, Feb 04 2020

Keywords

• nonn

Examples

			a(15) = 6 because we have [10, 4, 1], [10, 1, 4], [4, 10, 1], [4, 1, 10], [1, 10, 4] and [1, 4, 10].
		

Links

• Eric Weisstein's World of Mathematics, Centered Triangular Number
• Index entries for sequences related to compositions

Crossrefs

Cf. A005448, A023361, A280950, A281081, A282502, A331843, A331919, A332006.