id:A097041 - OEIS Search Results

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Expansion of (1+x)/(1-x^2-9x^3).

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1, 1, 1, 10, 10, 19, 100, 109, 271, 1009, 1252, 3448, 10333, 14716, 41365, 107713, 173809, 479998, 1143226, 2044279, 5463208, 12333313, 23861719, 61502185, 134861536, 276257656, 688381201, 1490011480, 3174700105, 7685442289 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`a(n)=a(n-2)+9a(n-3); a(n)=sum{k=0..floor(n/2), binomial(floor((n-k)/2), k)9^k }.`
	CROSSREFS	`Cf. A015445.` `Sequence in context: A167427 A047879 A141324 this_sequence A040091 A022093 A076817` `Adjacent sequences: A097038 A097039 A097040 this_sequence A097042 A097043 A097044`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 20 2004`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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