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 A279103 Number of Goldbach partitions (p,q) of 2n such that there exists a prime r in p < r < q that does not appear as a part in any Goldbach partition of p+q = 2n. 3
 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 3, 2, 1, 3, 3, 3, 3, 5, 4, 2, 5, 3, 3, 1, 2, 5, 6, 1, 5, 6, 4, 5, 6, 4, 4, 5, 4, 4, 8, 4, 4, 7, 3, 5, 8, 5, 4, 8, 6, 6, 10, 6, 5, 10, 3, 5, 10, 2, 7, 9, 5, 5, 7, 7, 7, 10, 5, 5, 12, 3, 8, 11, 4, 8, 8, 5, 5, 13, 9, 5, 11, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS Eric Weisstein's World of Mathematics, Goldbach Partition Wikipedia, Goldbach's conjecture FORMULA a(n) = A002375(n) - A278700(n). a(n) = Sum_{i=3..n} (A010051(i) * A010051(2n-i) * (1 - Product_{k=i..n} (1 - abs(A010051(k) - A010051(2n-k))))). CROSSREFS Cf. A002375, A010051, A278700. Sequence in context: A329491 A123063 A031358 * A318734 A029317 A127800 Adjacent sequences:  A279100 A279101 A279102 * A279104 A279105 A279106 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, Dec 06 2016 STATUS approved

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Last modified September 27 15:29 EDT 2020. Contains 337383 sequences. (Running on oeis4.)