A331984 Number of compositions (ordered partitions) of n into distinct square pyramidal numbers.

1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 6, 24, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 6, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 6, 25

Offset

0,7

Links

Table of n, a(n) for n=0..91.

Eric Weisstein's World of Mathematics, Square Pyramidal Number

Index entries for sequences related to compositions

Index entries for sequences related to sums of squares

Example

a(20) = 6 because we have [14, 5, 1], [14, 1, 5], [5, 14, 1], [5, 1, 14], [1, 14, 5] and [1, 5, 14].

Crossrefs

Cf. A000330, A279220, A298246, A322340, A331844, A331919.

Sequence in context: A348380 A185374 A332014 * A087781 A181009 A270599

Adjacent sequences: A331981 A331982 A331983 * A331985 A331986 A331987

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 03 2020

Status

approved