A279948 Expansion of (Sum_{k>=1} x^(prime(k)^2))^3.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3

Offset

0,18

Comments

Number of ordered ways of writing n as the sum of three squares of primes (A001248).

Links

Table of n, a(n) for n=0..99.

Index entries for sequences related to sums of squares

Formula

G.f.: (Sum_{k>=1} x^(prime(k)^2))^3.

Example

a(22) = 3 because we have [4, 9, 9], [9, 4, 9] and [9, 9, 4].

Mathematica

nmax = 125; CoefficientList[Series[(Sum[x^Prime[k]^2, {k, 1, nmax}])^3, {x, 0, nmax}], x]

Crossrefs

Cf. A001248, A063691, A098238.

Sequence in context: A320179 A035656 A325675 * A264009 A281155 A321432

Adjacent sequences: A279945 A279946 A279947 * A279949 A279950 A279951

Keyword

nonn

Author

Ilya Gutkovskiy, Dec 24 2016

Status

approved