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A307608 Number of partitions of n^2 into consecutive positive squares. 1
1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..93.

Index entries for sequences related to sums of squares

FORMULA

a(n) = [x^(n^2)] Sum_{i>=1} Sum_{j>=i} Product_{k=i..j} x^(k^2).

a(n) = A296338(A000290(n)).

a(n) >= 2 for n in A097812.

EXAMPLE

29^2 = 20^2 + 21^2, so a(29) = 2.

CROSSREFS

Cf. A000290, A030273, A034705, A037444, A097812, A151557, A296338.

Sequence in context: A249770 A298481 A324872 * A323022 A284562 A087102

Adjacent sequences:  A307605 A307606 A307607 * A307609 A307610 A307611

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 18 2019

STATUS

approved

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Last modified October 15 04:33 EDT 2019. Contains 328026 sequences. (Running on oeis4.)