id:A083704 - OEIS Search Results

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a(n)=sum(k=1,n,floor(r*floor(k/r))) where r=sqrt(3).

+0
2

0, 0, 1, 2, 5, 8, 13, 19, 25, 33, 41, 51, 61, 73, 86, 99, 114, 129, 146, 163, 182, 202, 222, 244, 266, 290, 315, 340, 367, 394, 423, 452, 483, 515, 547, 581, 615, 651, 687, 725, 764, 803, 844, 885, 928, 971, 1016, 1062, 1108, 1156, 1204, 1254, 1305, 1356, 1409 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`More generally if r is irrational 1<r<2 then sum(k=1,n,floor(r*floor(k/r))) = n(n-3)/2 + ceiling(n/r)`
	FORMULA	`a(n) = n(n-3)/2 + ceiling(n/sqrt(3))`
	CROSSREFS	`Sequence in context: A054074 A000982 A122221 this_sequence A111097 A027916 A054254` `Adjacent sequences: A083701 A083702 A083703 this_sequence A083705 A083706 A083707`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 15 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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