id:A132336 - OEIS Search Results

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Sum of the non-fifth powers less than or equal to n.

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0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 495, 528, 562, 597, 633, 670, 708, 747, 787, 828, 870, 913, 957, 1002, 1048, 1095, 1143, 1192, 1242, 1293, 1345, 1398, 1452 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`Let r = floor(n^(1/5)). Then a(n) = n(n+1)/2 - (2r^6+6r^5+5r^4-r^2)/12.`
	PROGRAM	`(PARI) g5(n)=for(x=1, n, r=floor(x^(1/5)); sum5=(2r^6+6r^5+5r^4-r^2)/12; sn=x (x+1)/2; print1(sn-sum5", "))`
	CROSSREFS	`Different from A000096.` `Adjacent sequences: A132333 A132334 A132335 this_sequence A132337 A132338 A132339` `Sequence in context: A112265 A075543 A132315 this_sequence A000096 A080956 A132337`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)hotmail.com), Nov 07 2007`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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