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A068307 From Goldbach problem: number of decompositions of n into a sum of three primes. 11
0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 4, 2, 3, 2, 5, 2, 5, 3, 5, 3, 7, 3, 7, 2, 6, 3, 9, 2, 8, 4, 9, 4, 10, 2, 11, 3, 10, 4, 12, 3, 13, 4, 12, 5, 15, 4, 16, 3, 14, 5, 17, 3, 16, 4, 16, 6, 19, 3, 21, 5, 20, 6, 20, 2, 22, 5, 21, 6, 22, 5, 28, 5, 24, 7, 25, 4, 29, 5, 27, 8, 29, 5, 33, 4, 29 (list; graph; refs; listen; history; internal format)
OFFSET

1,9

COMMENTS

For even n>2: a(n) = A061358(n-2). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 08 2009]

LINKS

Robert G. Wilson v, Table of n, a(n) for n=1..36000

Wikipedia, Goldbach's conjecture.

MATHEMATICA

f[n_] := Block[{c = 0, lmt = PrimePi@ Floor[n/2], p, q}, Do[p = Prime@ i; q = Prime@ j; r = n - p - q; If[ PrimeQ@ r && r >= p, c++ ], {i, lmt}, {j, i}]; c]; Array[f, 91] (* from Robert G. Wilson v, (rgwv(AT)rgwv.com), Apr 13 2008 *)

CROSSREFS

Bisections: A045917, A054860. Cf. A002375, A061358, A059998.

First occurrence: A139321. Records: A139322.

Sequence in context: A001227 A060764 A105149 * A158946 A023645 A167865

Adjacent sequences:  A068304 A068305 A068306 * A068308 A068309 A068310

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 24 2002

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 10 2002

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Last modified February 13 16:17 EST 2012. Contains 205522 sequences.