A279948 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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].