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A115230 Number of ways to write the n-th prime as a sum of a binary power and an odd prime power. +0
4
1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 0, 1, 2, 1, 2, 2, 1, 3, 0, 1, 2, 3, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 3, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 3, 2, 3, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 0, 1, 2, 1, 0, 1, 2, 0, 2 (list; graph; listen)
OFFSET

1,2

COMMENT

a(A115231(n))=0; a(A115232(n))>0; a(A115233(n))=1; a(A006512(n))>0; a(A053703(n))>0.

EXAMPLE

n=25: A000040(25) = 97 = 2^6+3*11 = 2^5+5*13 = 2^4+3^4 =

2^3+89^1 = 2^2+3*31 = 2^1+5*19 = 2^0+3*2^5, therefore

a(25)=#{[16+81],[8+89]}=2.

CROSSREFS

Cf. A000079, A061345.

Sequence in context: A102671 A037815 A117005 this_sequence A052010 A138471 A102669

Adjacent sequences: A115227 A115228 A115229 this_sequence A115231 A115232 A115233

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 17 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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