A087316 - OEIS

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A087316

a(n) = Sum_{k=1..n} prime(k)^prime(n-k+1).

4, 17, 84, 545, 7824, 281771, 51540600, 3347558057, 1146374959980, 288113965730819, 529172633067826888, 283453407513524913023, 4122282265785671687518812, 1586581830624893452605127040309 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..50`
	EXAMPLE	`Examples from Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 06 2006:` `a(1) = 4 because prime(1)^prime(1) = 2^2 = 4.` `a(2) = 17 because prime(1)^prime(2) + prime(2)^prime(1) = 2^3 + 3^2 = 17.` `a(3) = 84 because 2^5 + 3^3 + 5^2 = 84.` `a(4) = 545 = 2^7 + 3^5 + 5^3 + 7^2.` `a(5) = 7824 = 2^11 + 3^7 + 5^5 + 7^3 + 11^2.` `a(6) = 281771 = 2^13 + 3^11 + 5^7 + 7^5 + 11^3 + 13^2.` `a(7) = 51540600 = 2^17 + 3^13 + 5^11 + 7^7 + 11^5 + 13^3 + 17^2.` `a(8) = 3347558057 = 2^19 + 3^17 + 5^13 + 7^11 + 11^7 + 13^5 + 17^3 + 19^2.` `a(9) = 1146374959980 = 2^23 + 3^19 + 5^17 + 7^13 + 11^11 + 13^7 + 17^5 + 19^3 + 23^2.`
	MAPLE	`a:=n->sum(ithprime(k)^ithprime(n-k+1), k=1..n): seq(a(n), n=1..16); (Deutsch)`
	CROSSREFS	`Cf. A000040, A005408, A087315, A113122, A113153, A113154.` `Sequence in context: A200716 A093904 A093344 * A104979 A081052 A020074` `Adjacent sequences: A087313 A087314 A087315 * A087317 A087318 A087319`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003`
	EXTENSIONS	`More terms from Sam Alexander (amnalexander(AT)yahoo.com), Oct 20 2003` `Further terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 13 2005` `Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 19 2008 at the suggestion of R. J. Mathar`

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Last modified February 16 02:51 EST 2012. Contains 205860 sequences.