id:A130485 - OEIS Search Results

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Sum {0<=k<=n, k mod 7} (Partial sums of A010876).

+0
21

0, 1, 3, 6, 10, 15, 21, 21, 22, 24, 27, 31, 36, 42, 42, 43, 45, 48, 52, 57, 63, 63, 64, 66, 69, 73, 78, 84, 84, 85, 87, 90, 94, 99, 105, 105, 106, 108, 111, 115, 120, 126, 126, 127, 129, 132, 136, 141, 147, 147, 148, 150, 153, 157, 162, 168, 168, 169, 171, 174, 178, 183 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=21floor(n/7)+A010876(n)(A010876(n)+1)/2. G.f.: g(x)=(sum{1<=k<7, k*x^k})/((1-x^7)(1-x)). Also: g(x)=x(6x^7-7x^6+1)/((1-x^7)(1-x)^3).`
	CROSSREFS	`Cf. A010872, A010873, A010874, A010875, A010877. A130481, A130482, A130483, A130484.` `Adjacent sequences: A130482 A130483 A130484 this_sequence A130486 A130487 A130488` `Sequence in context: A096895 A034175 A139131 this_sequence A115015 A056150 A033439`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), May 31 2007`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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