id:A082462 - OEIS Search Results

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Let chi(k) = 1 if prime(k+1) - prime(k) = 2, = 0 otherwise; sequence gives a(n) = sum_{k <= n} chi(k).

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0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n)=A071538(A000040(n)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 06 2008]`
	EXAMPLE	`n p D a(n) (p=prime(n), D = prime(n+1)-prime(n))` `1 2 1 0` `2 3 2 1` `3 5 2 2` `4 7 4 2` `5 11 2 3` `6 13 4 3`
	CROSSREFS	`Cf. A000040, A001223.` `Adjacent sequences: A082459 A082460 A082461 this_sequence A082463 A082464 A082465` `Sequence in context: A067085 A055086 A001462 this_sequence A005041 A030530 A024417`
	KEYWORD	`nonn,new`
	AUTHOR	`Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Apr 26 2003`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

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