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A286934
Number of partitions of n into centered square primes (A027862).
1
1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 3, 2, 1, 2, 2, 3, 2, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 5
OFFSET
0,42
FORMULA
G.f.: Product_{k>=1} 1/(1 - x^A027862(k)).
EXAMPLE
a(41) = 2 because we have [41] and [13, 13, 5, 5, 5].
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[1/(1 - x^k), {k, Select[Range[nmax]^2 + (Range[nmax] + 1)^2, PrimeQ]}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 16 2017
STATUS
approved