A298859 Number of partitions of n into distinct fourth powers.

1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1

Offset

0

Links

Table of n, a(n) for n=0..98.

Eric Weisstein's World of Mathematics, Biquadratic Number

Index entries for related partition-counting sequences

Formula

G.f.: Product_{k>=1} (1 + x^(k^4)).

Mathematica

nmax = 98; CoefficientList[Series[Product[1 + x^k^4, {k, 1, Floor[nmax^(1/4) + 1]}], {x, 0, nmax}], x]

Crossrefs

Cf. A000009, A000583, A002377, A003999, A033461, A046039 (positions of zeros), A046042, A259793, A279329, A279485.

Sequence in context: A016383 A374016 A279485 * A216280 A370118 A014022

Adjacent sequences: A298856 A298857 A298858 * A298860 A298861 A298862

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 27 2018

Status

approved