A276557 - OEIS

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A276557

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

0

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

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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].

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 - x^Prime[k]^2), {k, 1, n}], {x, 0, Prime[n]^2}], {n, 1, 30}]

CROSSREFS

Cf. A001248, A037444, A056768, A078137, A090677.

Sequence in context: A081356 A018269 A270359 * A266868 A203177 A096122

Adjacent sequences: A276554 A276555 A276556 * A276558 A276559 A276560

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jun 14 2017

STATUS

approved