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A173676 Number of ways of writing n as a sum of seven nonnegative cubes. 11
1, 7, 21, 35, 35, 21, 7, 1, 7, 42, 105, 140, 105, 42, 7, 0, 21, 105, 210, 210, 105, 21, 0, 0, 35, 140, 210, 147, 77, 105, 140, 105, 77, 112, 105, 77, 210, 420, 420, 210, 63, 42, 21, 105, 420, 630, 420, 105, 7, 7, 0, 140, 420, 420, 161, 105, 211, 210, 105, 126, 210, 105, 105, 420, 637, 462, 210, 182, 147, 42, 217, 630, 672, 420, 420, 427, 210, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Order matters. This is the coefficient of q^n in the expansion of {Sum_{m>=0} q^(m^3)}^7.

It is known that a(n)>0 if n is even and > 454.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

N. D. Elkies, Every even number greater than 454 is the sum of seven cubes, arXiv:1009.3983

CROSSREFS

Cf. A004829, A008451.

Sums of k cubes, number of ways of writing n as, for k=1..9: A010057, A173677, A051343, A173678, A173679, A173680, A173676, A173681, A173682.

Sequence in context: A001485 A230210 A087111 * A131893 A282248 A282349

Adjacent sequences:  A173673 A173674 A173675 * A173677 A173678 A173679

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 24 2010

STATUS

approved

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Last modified August 21 06:54 EDT 2019. Contains 326162 sequences. (Running on oeis4.)