id:A086529 - OEIS Search Results

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Beginning with 2, distinct even numbers such that the arithmetic mean of successive pairs of terms gives odd primes in their natural order. {a(n) + a(n+1)}/2 = prime(n+1).

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2, 4, 6, 8, 14, 12, 22, 16, 30, 28, 34, 40, 42, 44, 50, 56, 62, 60, 74, 68, 78, 80, 86, 92, 102, 100, 106, 108, 110, 116, 138, 124, 150, 128, 170, 132, 182, 144, 190, 156, 202, 160, 222, 164, 230, 168, 254, 192, 262, 196, 270, 208, 274, 228, 286, 240, 298, 244 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = 2(sum(i = 2, n, ((-1)^(n-i)p(i)))-(-1)^n) - David Wasserman (wasserma(AT)spawar.navy.mil), Mar 14 2005`
	CROSSREFS	`Sequence in context: A014320 A080377 A086526 this_sequence A054409 A152973 A089747` `Adjacent sequences: A086526 A086527 A086528 this_sequence A086530 A086531 A086532`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 31 2003`
	EXTENSIONS	`More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Mar 14 2005`

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

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