A307644 - OEIS

A307644

Number of partitions of n^4 into exactly n nonzero fourth powers.

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

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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: A007386 A007385 A352610 * 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