id:A073737 - OEIS Search Results

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Sums of three successive terms form the primes.

+0
4

1, 1, 1, 3, 3, 5, 5, 7, 7, 9, 13, 9, 15, 17, 11, 19, 23, 17, 21, 29, 21, 23, 35, 25, 29, 43, 29, 31, 47, 31, 35, 61, 35, 41, 63, 45, 43, 69, 51, 47, 75, 57, 49, 85, 59, 53, 87, 71, 65, 91, 73, 69, 97, 75, 79, 103, 81, 85, 105, 87, 89, 107, 97, 103, 111, 99, 107, 125, 105, 117 (list; graph; listen)

	OFFSET	`1,4`
	FORMULA	`a(n) + a(n-1) + a(n-2) = n-th prime, where a(0)=1, a(-1)=0, a(-2)=0 and the 0-th prime is taken to be 1.`
	EXAMPLE	`At n=10, a(10) +a(9) +a(8) = 13 +9 +7 = 29 = p_10.`
	CROSSREFS	`Cf. A036467, A001223, A073736.` `Sequence in context: A063196 A127630 A109613 this_sequence A133908 A111213 A095878` `Adjacent sequences: A073734 A073735 A073736 this_sequence A073738 A073739 A073740`
	KEYWORD	`easy,nice,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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