id:A086712 - OEIS Search Results

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Number of times the n-th prime power can be written as an arithmetic mean of two other prime powers.

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0, 1, 2, 2, 3, 3, 3, 4, 3, 4, 6, 6, 5, 5, 7, 8, 5, 6, 6, 7, 6, 8, 6, 8, 8, 7, 8, 10, 10, 9, 8, 9, 14, 8, 10, 11, 10, 12, 8, 11, 8, 12, 13, 12, 11, 11, 13, 13, 13, 13, 13, 11, 11, 14, 11, 13, 16, 12, 16, 14, 15, 16, 17, 13, 16, 15, 12, 18, 27, 15, 19, 18, 17, 15, 16, 15, 13, 18, 17, 15 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`Eric Weisstein's World of Mathematics, Prime Power`
	EXAMPLE	`n=7, A000961(7)=8=2^3: (3+13)/2=(A000961(3)+A000961(10))/2, (5+11)/2=(A000961(5)+A000961(9))/2 and (7+3^2)/2=(A000961(6)+A000961(8))/2: therefore a(7)=3.`
	CROSSREFS	`Cf. A000961, A071681.` `Sequence in context: A134674 A000121 A049846 this_sequence A125842 A029865 A072644` `Adjacent sequences: A086709 A086710 A086711 this_sequence A086713 A086714 A086715`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 01 2003`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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