A276557 - OEIS

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A276557

Number of partitions of prime(n)^2 into squares of primes.

1, 1, 2, 4, 17, 39, 191, 410, 1771, 13805, 26459, 170897, 556698, 988053, 3019206, 15074481, 70202708, 115639004, 498047289, 1281427052, 2039282754, 7981334946, 19374343049, 71015123687, 380553620426, 862797574415, 1292837481584, 2875949125749, 4270259833946, 9334145396729

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

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..30.

Index entries for sequences related to sums of squares

Index entries for related partition-counting sequences

FORMULA

a(n) = [x^(prime(n)^2)] Product_{k>=1} 1/(1 - x^(prime(k)^2)).

a(n) = A090677(A001248(n)).

EXAMPLE

a(3) = 2 because third square of prime is 25 and we have [25], [9, 4, 4, 4, 4].