A225518 - OEIS

A225518

Number of ways to express 2n+1 as p + 8*q, with p and q primes.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 3, 0, 1, 3, 1, 2, 3, 2, 3, 1, 2, 3, 2, 1, 2, 3, 1, 1, 3, 2, 3, 1, 2, 3, 3, 2, 4, 2, 2, 2, 4, 2, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 2, 2, 3, 2, 2, 4, 3, 2, 5, 3, 2, 4, 5, 3, 4, 2, 4, 5, 4, 2, 4, 3

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OFFSET

0,14

COMMENTS

This is related to the conjecture given in A223174 and A223175.

For n > 8, a(12) = a(24) = 0 because A223174(12)= A223174(24)= 0.

LINKS

Michel Lagneau, Table of n, a(n) for n = 0..10000

EXAMPLE

a(14) = 2 because 29 = 5+8*3 = 13+8*2 with 2 decompositions.

a(23) = 3 because 47 = 7+8*5 = 23+8*3 = 31+8*2 with 3 decompositions.

MATHEMATICA