id:A049856 - OEIS Search Results

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a(n)=Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; 3 initial terms required.

+0
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0, 0, 1, 1, 2, 3, 6, 11, 21, 39, 73, 136, 254, 474, 885, 1652, 3084, 5757, 10747, 20062, 37451, 69912, 130509, 243629, 454797, 848997, 1584874, 2958580, 5522960, 10310043, 19246380, 35928380, 67069677, 125203017, 233724034 (list; graph; listen)

	OFFSET	`0,5`
	FORMULA	`a(n)=2a(n-1)-a(n-3)+a(n-4); 4 initial terms required.` `a(n+2)=sum(i=0, n, F(i+1)binomial(n-i, i)) where F=A000045 - Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 21 2004`
	CROSSREFS	`Cf. A049858.` `Sequence in context: A034064 A034074 A018175 this_sequence A113409 A092684 A123915` `Adjacent sequences: A049853 A049854 A049855 this_sequence A049857 A049858 A049859`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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