id:A131242 - OEIS Search Results

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Sum {0<=k<=n, floor(k/10)} (Partial sums of A059995).

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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 156, 162, 168, 174, 180, 186, 192, 198 (list; graph; listen)

	OFFSET	`0,12`
	COMMENT	`Complementary with A130488 regarding triangular numbers, in that A130488(n)+10*a(n)=n(n+1)/2=A000217(n).`
	FORMULA	`a(n)=(1/2)floor(n/10)(2n-8-10floor(n/10)).` `a(n)=A059995(n)(2n-8-10A059995(n))/2.` `a(n)=(1/2)A059995(n)(n-8+A010879(n)).` `a(n)=(n-A010879(n))(n+A010879(n)-8)/20.` `G.f.: g(x)=x^10/((1-x^10)(1-x)^2).`
	CROSSREFS	`Cf. A059995, A010879, A002266, A130488.` `Sequence in context: A164836 A032518 A008728 this_sequence A083292 A122618 A033062` `Adjacent sequences: A131239 A131240 A131241 this_sequence A131243 A131244 A131245`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 21 2007`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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