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A307644 Number of partitions of n^4 into exactly n nonzero fourth powers. 2
1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 0, 6, 0, 27, 13, 59, 390, 661, 4933, 9760, 49415, 101967, 341887, 702884, 2209559, 5361004, 15472531, 34165997, 82258594, 193682533, 490404772, 1210929426, 2725005202, 6283337761, 13672859806, 34906926846 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Table of n, a(n) for n=0..37.

Eric Weisstein's World of Mathematics, Biquadratic Number

EXAMPLE

11^4 =

1^4 + 2^4 + 2^4 + 4^4 + 4^4 + 4^4 + 4^4 + 6^4 + 8^4 + 8^4 + 8^4 =

2^4 + 2^4 + 2^4 + 2^4 + 2^4 + 2^4 + 6^4 + 6^4 + 6^4 + 8^4 + 9^4 =

2^4 + 2^4 + 2^4 + 4^4 + 6^4 + 6^4 + 6^4 + 6^4 + 6^4 + 6^4 + 9^4,

so a(11) = 3.

CROSSREFS

Cf. A000583, A259793, A299169, A299195, A307643, A319435.

Sequence in context: A328788 A007386 A007385 * A081978 A117784 A257896

Adjacent sequences:  A307641 A307642 A307643 * A307645 A307646 A307647

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 19 2019

EXTENSIONS

a(20)-a(28) from Vaclav Kotesovec, Apr 20 2019

a(29)-a(37) from Vaclav Kotesovec, Apr 23 2019

STATUS

approved

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Last modified November 12 09:25 EST 2019. Contains 329054 sequences. (Running on oeis4.)