A332007 Number of compositions (ordered partitions) of n into distinct pentagonal numbers.

1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 2, 7, 2, 0, 0, 6, 26, 6, 0, 0, 0, 0, 0, 2, 6, 0, 0, 1, 8, 24, 0, 0, 2, 8, 6, 0, 0, 0, 6, 26, 6, 0, 0, 0, 6, 30, 25, 2, 0, 2, 30, 122, 6, 0, 6, 24

Offset: 0

Author

Ilya Gutkovskiy, Feb 04 2020

Keywords

• nonn

Examples

			a(18) = 6 because we have [12, 5, 1], [12, 1, 5], [5, 12, 1], [5, 1, 12], [1, 12, 5] and [1, 5, 12].
		

Links

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

Crossrefs

Cf. A000326, A181324, A218379, A218380, A331843, A331844.