id:A102552 - OEIS Search Results

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Prime(n)-(prime(n+1)+prime(n-1))/2.

+0
3

0, -1, 1, -1, 1, -1, -1, 2, -2, 1, 1, -1, -1, 0, 2, -2, 1, 1, -2, 1, -1, -1, 2, 1, -1, 1, -1, -5, 5, -1, 2, -4, 4, -2, 0, 1, -1, 0, 2, -4, 4, -1, 1, -5, 0, 4, 1, -1, -1, 2, -4, 2, 0, 0, 2, -2, 1, 1, -4, -2, 5, 1, -1, -5, 4, -2, 4, -1, -1, -1, 1, 0, 1, -1, -1, 2, -2, -1, 4, -4, 4, -2, 1, -1, -1, 2, 1, -1, -4, 2, 2, -2, 2, -1, -3, 5, -8, 6, -2, 2, 0, 2, -2 (list; graph; listen)

	OFFSET	`3,8`
	REFERENCES	`Eric Weisstein, CRC Concise Encyclopedia of Mathematics, 1998, page 1321.`
	FORMULA	`a(n)=-(1/2)*(A001223(n+1)-A001223(n))` `a(n)=A036263(n)/2 - T. D. Noe (noe(AT)sspectra.com), Oct 06 2006`
	EXAMPLE	`a(6)=-1 because 13-(17+11)/2=-1.`
	MAPLE	`a:=n->ithprime(n)-(ithprime(n+1)+ithprime(n-1))/2: seq(a(n), n=3..95); (Deutsch)`
	MATHEMATICA	`f[n_] := Prime[n] - (Prime[n - 1] + Prime[n + 1])/2; Table[f[n], {n, 3, 107}] (* Robert G. Wilson v Sep 25 2006 *)`
	CROSSREFS	`Cf. A000040, A066875, A006562, A051634, A051635.` `Sequence in context: A054535 A054534 A085769 this_sequence A124034 A085978 A064284` `Adjacent sequences: A102549 A102550 A102551 this_sequence A102553 A102554 A102555`
	KEYWORD	`sign`
	AUTHOR	`Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Feb 25 2005`
	EXTENSIONS	`More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 02 2005`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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