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A236927 Number of integer solutions to a^2 + b^2 + c^2 + 8*d^2 = n. 9
1, 6, 12, 8, 6, 24, 24, 0, 14, 42, 48, 40, 20, 72, 96, 0, 30, 108, 84, 72, 40, 96, 120, 0, 36, 126, 144, 80, 48, 168, 96, 0, 62, 120, 216, 128, 42, 216, 216, 0, 72, 252, 192, 168, 100, 168, 288, 0, 68, 342, 252, 144, 120, 312, 240, 0, 112, 216, 336, 232, 48, 360, 384 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Liouville, J., Sur la forme X^2 + Y^2 + Z^2 + 8T^2. Journal de mathématiques pures et appliquées 2e série, tome 6 (1861), p. 324-328. http://portail.mathdoc.fr/JMPA/af#cher_notice.php?id=JMPA_1861_2_6_A41_0.

LINKS

Table of n, a(n) for n=0..62.

MAPLE

See A236924.

CROSSREFS

Cf. A236924.

For number of solutions to a^2+b^2+c^2+k*d^2=n for k=1,2,3,4,5,6,7,8,12 see A000118, A236928, A236926, A236923, A236930, A236931, A236932, A236927, A236933.

Sequence in context: A213384 A005875 A236933 * A236932 A281484 A236931

Adjacent sequences:  A236924 A236925 A236926 * A236928 A236929 A236930

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 15 2014

STATUS

approved

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Last modified March 24 00:37 EDT 2017. Contains 283984 sequences.