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A374014
Expansion of (Sum_{k>=0} x^(k^4))^16.
1
1, 16, 120, 560, 1820, 4368, 8008, 11440, 12870, 11440, 8008, 4368, 1820, 560, 120, 16, 17, 240, 1680, 7280, 21840, 48048, 80080, 102960, 102960, 80080, 48048, 21840, 7280, 1680, 240, 16, 120, 1680, 10920, 43680, 120120, 240240, 360360, 411840, 360360, 240240, 120120, 43680, 10920, 1680, 120, 0
OFFSET
0,2
COMMENTS
Number of ways to write n as an ordered sum of 16 fourth powers (A000583).
LINKS
Eric Weisstein's World of Mathematics, Waring's Problem
FORMULA
a(A099591(n)) = 0.
a(n) > 0 for n > 13792.
PROG
(PARI) my(N=50, x='x+O('x^N)); Vec(sum(k=0, sqrtnint(N, 4), x^k^4)^16)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 25 2024
STATUS
approved