id:A085570 - OEIS Search Results

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If n mod 2 = 0 then 2*Sum(floor(C(n,w)/(2*w+1)),w=0..n/2-1)+floor(C(n,n/2)/(n+1)) otherwise 2*Sum(floor(C(n,w)/(2*w+1)),w=0..(n-1)/2).

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1, 2, 2, 4, 5, 8, 14, 24, 39, 74, 128, 232, 423, 776, 1426, 2660, 4931, 9268, 17346, 32840, 61903, 117832, 223410, 427156, 813812, 1561830, 2987535, 5751742, 11039759, 21312036, 41025866, 79386066, 153208323, 297072312, 574604611, 1116186954, 2163216427 (list; graph; listen)

	OFFSET	`0,2`
	MAPLE	`b := binomial; f2 := n->if n mod 2 = 0 then 2add(floor(b(n, w)/(2w+1)), w=0..n/2-1)+floor(b(n, n/2)/(n+1)); else 2add(floor(b(n, w)/(2w+1)), w=0..(n-1)/2); fi;`
	CROSSREFS	`Cf. A085568-A086673.` `Sequence in context: A093335 A093333 A116085 this_sequence A059850 A051630 A050045` `Adjacent sequences: A085567 A085568 A085569 this_sequence A085571 A085572 A085573`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jul 07 2003`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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