A332006 Number of compositions (ordered partitions) of n into distinct centered square numbers.

1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 2, 6, 0, 1, 2, 6, 24, 0, 2, 6, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 6, 24, 1, 2, 0, 0, 0, 4, 12, 0, 0, 0, 6, 24, 0, 2, 6, 0, 0, 0, 12, 48, 0, 0, 0, 24, 121, 4, 6

Offset

0,7

Links

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

Eric Weisstein's World of Mathematics, Centered Square Number

Index entries for sequences related to compositions

Example

a(19) = 6 because we have [13, 5, 1], [13, 1, 5], [5, 13, 1], [5, 1, 13], [1, 13, 5] and [1, 5, 13].

Crossrefs

Cf. A001844, A006456, A280951, A281082, A282504, A331844, A331984, A332005.

Sequence in context: A230279 A085859 A218218 * A086016 A103270 A087780

Adjacent sequences: A332003 A332004 A332005 * A332007 A332008 A332009

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 04 2020

Status

approved