id:A133252 - OEIS Search Results

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Partial sums of A006000.

+0
1

1, 5, 17, 45, 100, 196, 350, 582, 915, 1375, 1991, 2795, 3822, 5110, 6700, 8636, 10965, 13737, 17005, 20825, 25256, 30360, 36202, 42850, 50375, 58851, 68355, 78967, 90770, 103850, 118296, 134200, 151657, 170765, 191625, 214341, 239020, 265772 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Prime for a(1) = 5, a(2) = 17, then never again?`
	FORMULA	`a(n) = SUM[i=0..n] A006000(i) = SUM[i=0..n](i+1)(i^2+i+2)/2. a(n) = (1/2)((1/4)(n^4 + 2 n^3 + n^2) + (1/3)(2n^3 + 3n^2 + n) + (1/2)*(3n^2 + 3n) + 2n)).`
	CROSSREFS	`Cf. A006000.` `Sequence in context: A146183 A163424 A099451 this_sequence A048612 A147050 A147397` `Adjacent sequences: A133249 A133250 A133251 this_sequence A133253 A133254 A133255`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 19 2007`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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