id:A162734 - OEIS Search Results

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An alternating sum of all numbers from the n-th up to the (n+1)st isolated prime.

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11, 30, 42, 50, 60, 73, 81, 86, 93, 105, 120, 129, 144, 160, 165, 170, 192, 217, 228, 242, 254, 260, 270, 285, 300, 312, 324, 334, 345, 356, 363, 370, 376, 381, 386, 393, 399, 405, 424, 441, 446, 453, 462, 473, 483, 489, 495, 501, 506, 525, 544, 552, 560 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = sum_{j= A007510(n).. A007510(n+1)} (-1)^(j+1)*j = A001057(A007510(n+1))-A001057(A007510(n)-1).`
	EXAMPLE	`a(1) = -2+3-4+5-6+7-8+9-10+11-12+13-14+15-16+17-18+19-20+21-22+23 = 11.` `a(2) = 23-24+25-26+27-28+29-30+31-32+33-34+35-36+37 = 30.`
	CROSSREFS	`Cf. A007510.` `Sequence in context: A027758 A057739 A146751 this_sequence A163060 A051682 A109943` `Adjacent sequences: A162731 A162732 A162733 this_sequence A162735 A162736 A162737`
	KEYWORD	`nonn,less`
	AUTHOR	`Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 13 2009`
	EXTENSIONS	`Replaced 55 by 60 and 447 by 446 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 23 2009`

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

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