id:A037444 - OEIS Search Results

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Number of partitions of n^2 into squares.

+0
6

1, 1, 2, 4, 8, 19, 43, 98, 220, 504, 1116, 2468, 5368, 11592, 24694, 52170, 108963, 225644, 462865, 941528, 1899244, 3801227, 7550473, 14889455, 29159061, 56722410, 109637563, 210605770, 402165159, 763549779, 1441686280, 2707535748, 5058654069, 9404116777 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Is limit_{n->inf} a(n)^(1/n) > 1? - Paul D. Hanna (pauldhanna(AT)juno.com), Aug 20 2002`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..100`
	FORMULA	`a(n) = A001156(n^2) = coefficient of x^(n^2) in the series expansion of product_{k=1..inf} 1/(1 - x^(k^2)).`
	CROSSREFS	`Entries with square index in A001156.` `Cf. A072964.` `Sequence in context: A049960 A018306 A139784 this_sequence A151526 A099526 A005703` `Adjacent sequences: A037441 A037442 A037443 this_sequence A037445 A037446 A037447`
	KEYWORD	`nonn,nice,easy`
	AUTHOR	`W. Meeussen (wouter.meeussen(AT)pandora.be)`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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