A294265 Number of partitions of n into squares that do not divide n.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 3, 1, 1, 0, 3, 3, 1, 0, 3, 3, 1, 0, 5, 3, 3, 0, 2, 3, 3, 0, 7, 3, 3, 3, 8, 1, 3, 0, 10, 9, 6, 0, 14, 9, 0, 0, 15, 12, 9, 4, 15, 16, 9, 0, 18, 18, 7, 1, 23, 18, 17, 0, 9, 22, 19, 5, 30, 28, 19, 5, 34, 6, 24, 2, 40, 36, 30

Offset

0,26

Links

Table of n, a(n) for n=0..95.

Index entries for sequences related to partitions

Index entries for sequences related to sums of squares

Example

a(25) = 2 because we have [16, 9] and [9, 4, 4, 4, 4].

Mathematica

Table[SeriesCoefficient[Product[1/(1 - Boole[Mod[n, k] > 0 && OddQ[DivisorSigma[0, k]]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 95}]

Crossrefs

Cf. A001156, A098743, A284345, A294266.

Sequence in context: A111505 A109264 A322393 * A130507 A281449 A280605

Adjacent sequences: A294262 A294263 A294264 * A294266 A294267 A294268

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 26 2017

Status

approved