id:A129363 - OEIS Search Results

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Number of partitions of 2n into the sum of two twin primes.

+0
2

0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 4, 2, 1, 2, 1, 2, 3, 3, 2, 2, 1, 2, 4, 3, 3, 4, 2, 2, 3, 2, 2, 4, 2, 0, 0, 0, 2, 4, 3, 2, 2, 2, 4, 6, 3, 3, 5, 3, 1, 2, 1, 2, 4, 2, 1, 2, 2, 4, 5, 3, 2, 4, 3, 3, 4, 2, 2, 4, 2, 3, 6, 3, 1, 2, 1, 3, 6, 4, 2, 2, 1, 2, 4, 3, 4, 6, 4, 4, 5, 3, 6, 12 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`a(n/2)=0 for the n in A007534. The logarithmic plot of this sequence seems very regular after 200000 terms`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..10000` `T. D. Noe, Logarithmic plot of 10^6 terms`
	EXAMPLE	`a(11)=3 because 22 = 3+19 = 5+17 = 11+11.`
	MATHEMATICA	`nn=1000; tw=Select[Prime[Range[PrimePi[nn]]], PrimeQ[ #+2]&]; tw=Union[tw, tw+2]; tc=Table[0, {nn}]; tc[[tw]]=1; Table[cnt=0; k=1; While[tw[[k]]<=n/2, cnt=cnt+tc[[n-tw[[k]]]]; k++ ]; cnt, {n, 2, nn, 2}]`
	CROSSREFS	`Sequence in context: A112220 A086376 A160089 this_sequence A053597 A094570 A002375` `Adjacent sequences: A129360 A129361 A129362 this_sequence A129364 A129365 A129366`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Apr 11 2007`

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.

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