id:A137402 - OEIS Search Results

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Sum_{k=0..n} binomial( floor(n-2k/3), k).

+0
2

1, 1, 2, 3, 5, 9, 16, 28, 48, 81, 136, 229, 388, 661, 1129, 1928, 3287, 5594, 9510, 16164, 27484, 46757, 79577, 135454, 230552, 392355, 667620, 1135924, 1932721, 3288563, 5595805, 9522067, 16203273, 27572144, 46917243, 79834375, 135845607, 231154212 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`A_n+B_{n-1}+C_{n-2} in the notation of A137356.`
	REFERENCES	`D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.4.`
	MAPLE	`f:=n->add( binomial( floor(n-2*k/3), k), k=0..n);`
	CROSSREFS	`Adjacent sequences: A137399 A137400 A137401 this_sequence A137403 A137404 A137405` `Sequence in context: A011826 A119968 A017914 this_sequence A134009 A018160 A079960`
	KEYWORD	`nonn`
	AUTHOR	`D. E. Knuth, Apr 11 2008`

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.

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