id:A086849 - OEIS Search Results

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Sum of first n non-squares.

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2, 5, 10, 16, 23, 31, 41, 52, 64, 77, 91, 106, 123, 141, 160, 180, 201, 223, 246, 270, 296, 323, 351, 380, 410, 441, 473, 506, 540, 575, 612, 650, 689, 729, 770, 812, 855, 899, 944, 990, 1037, 1085, 1135, 1186, 1238, 1291, 1345, 1400, 1456, 1513, 1571 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) = A000217(A000037(n)) - A000330(A000196(A000037(n))).`
	FORMULA	`a(n) = A000217(A000037(n)) - A000330(A000196(A000037(n))). a(n) = SUM[from i = 1 to n] A000037(i). a(n) = SUM[from i = 1 to n] (i + [1/2 + sqrt(i)]) where [x] = floor(x). a(n) = A000217(A000037(n)) -(1/3)(2A000196(n)+1)A000217(A000196(A000037(n))). - Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 28 2005` `a(n) = [1/2 + (n+sqrt(n))(n/2+sqrt(n)/6+1/3) - ([1/2 + sqrt(n)]-sqrt(n))^2*sqrt(n)] - Graeme McRae (g_m(AT)mcraefamily.com), Aug 28 2007`
	CROSSREFS	`Cf. A000037, A000196, A000217, A000330.` `Sequence in context: A117582 A002134 A062472 this_sequence A131938 A031871 A026056` `Adjacent sequences: A086846 A086847 A086848 this_sequence A086850 A086851 A086852`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 18 2003`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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