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A085121 Number of ways of writing n as the sum of three odd squares. 2
0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 72 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

REFERENCES

J. E. Jones [Lennard-Jones] and A. E. Ingham, On the calculation of certain crystal potential constants and on the cubic crystal of least energy, Proc. Royal Soc., A 107 (1925), 636-653 (see p. 650).

FORMULA

G.f.: (Sum_{n=-inf..inf} q^((2n+1)^2))^3.

CROSSREFS

Cf. A005875. Equals 8*A008437. The nonzero coefficients give A005878.

Sequence in context: A067485 A180225 A127886 * A079204 A199619 A036482

Adjacent sequences:  A085118 A085119 A085120 * A085122 A085123 A085124

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 25 2004

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Last modified February 15 02:38 EST 2012. Contains 205689 sequences.