id:A093001 - OEIS Search Results

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Least k such that Sum(r); r = n+1 to k is just >= the sum of the first n numbers. ( the n-th triangular number given by A000210). Or least k such that sum of first n numbers < or = sum of numbers beginning with n+1 up to k.

+0
2

2, 3, 5, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 28, 29, 30, 32, 33, 35, 36, 37, 39, 40, 42, 43, 45, 46, 47, 49, 50, 52, 53, 54, 56, 57, 59, 60, 62, 63, 64, 66, 67, 69, 70, 71, 73, 74, 76, 77, 78, 80, 81, 83, 84, 86, 87, 88, 90, 91, 93, 94, 95, 97, 98, 100, 101 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = ceiling[(-1 + sqrt(8n^2 + 8n + 1))/2] - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006`
	EXAMPLE	`a(6)= 9, 7+8+9 > 1+2+3+4+5+6, but 7+8 < 1+2+3+4+5+6.`
	CROSSREFS	`Cf. A093000.` `Sequence in context: A036606 A051837 A026371 this_sequence A026428 A030704 A061054` `Adjacent sequences: A092998 A092999 A093000 this_sequence A093002 A093003 A093004`
	KEYWORD	`easy,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 29 2004`
	EXTENSIONS	`More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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