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A063730 Number of solutions to w^2 + x^2 + y^2 + z^2 = n in positive integers. +0
3
0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 6, 0, 4, 4, 0, 12, 1, 0, 12, 4, 6, 4, 12, 12, 0, 12, 6, 12, 12, 0, 24, 16, 0, 12, 18, 12, 13, 16, 12, 28, 6, 0, 36, 16, 12, 24, 24, 24, 4, 16, 30, 24, 18, 12, 36, 36, 0, 28, 42, 12, 36, 16, 24, 52, 1, 24, 48, 28, 18, 24, 60, 36, 12 (list; graph; listen)
OFFSET

0,8

LINKS

T. D. Noe, Table of n, a(n) for n = 0..10000

FORMULA

G.f.: (Sum_{m=1..inf} x^(m^2))^4.

CROSSREFS

Cf. A063691, A063725.

Sequence in context: A151673 A005397 A021718 this_sequence A131431 A016678 A055028

Adjacent sequences: A063727 A063728 A063729 this_sequence A063731 A063732 A063733

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Aug 23 2001

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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