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

0,6

Links

Table of n, a(n) for n=0..87.

Eric Weisstein's World of Mathematics, Centered Triangular Number

Index entries for sequences related to compositions

Example

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].

Crossrefs

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

Sequence in context: A025907 A024157 A331919 * A039968 A092037 A338848

Adjacent sequences: A332002 A332003 A332004 * A332006 A332007 A332008

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 04 2020

Status

approved