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

0,42

LINKS

Table of n, a(n) for n=0..100.

Eric Weisstein's World of Mathematics, Centered Square Number

Index entries for sequences related to centered polygonal numbers

Index entries for sequences related to partitions

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

Cf. A000607, A001844, A027862, A280951, A282970.

Sequence in context: A321458 A226194 A053692 * A282714 A280634 A281491

Adjacent sequences:  A286931 A286932 A286933 * A286935 A286936 A286937

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 16 2017

STATUS

approved

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Last modified April 23 02:15 EDT 2019. Contains 322380 sequences. (Running on oeis4.)