id:A141100 - OEIS Search Results

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Number of unordered pairs of odd composite numbers that sum to 2n.

+0
4

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 3, 1, 1, 3, 2, 1, 4, 1, 2, 5, 1, 3, 5, 1, 4, 5, 3, 3, 6, 3, 3, 7, 3, 3, 9, 3, 4, 7, 4, 6, 9, 5, 5, 8, 6, 6, 10, 5, 5, 12, 4, 6, 12, 5, 9, 11, 7, 7, 11, 9, 9, 13, 8, 8, 16, 7, 11, 14, 8, 11, 14, 9, 9, 17, 13, 10, 16, 11, 11, 19, 11, 12, 18, 10 (list; graph; listen)

	OFFSET	`1,15`
	COMMENT	`See A141099 for pairs of odd nonprime numbers. We have a(n) > 0 except for the 14 values of 2n given in A118081.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	EXAMPLE	`a(18)=2 because 36 = 9+27 = 15+21.`
	MATHEMATICA	`Table[cnt=0; Do[If[ !PrimeQ[i] && !PrimeQ[2n-i], cnt++ ], {i, 3, n, 2}]; cnt, {n, 100}]`
	CROSSREFS	`Cf. A141095, A141097.` `Adjacent sequences: A141097 A141098 A141099 this_sequence A141101 A141102 A141103` `Sequence in context: A105186 A058709 A025842 this_sequence A058685 A029300 A096397`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 02 2008, Jun 05 2008`

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.

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