id:A137155 - OEIS Search Results

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a(n) = Sum_{k=0..[n/2]} C(2^k + n-2k-1, n-2k); equals the antidiagonal sums of triangle A137153.

+0
3

1, 1, 2, 3, 5, 9, 17, 35, 80, 201, 561, 1771, 6298, 25217, 115440, 605243, 3609754, 24742305, 196470603, 1792166979, 18817616610, 230233601737, 3268914688382, 53509699527491, 1020486454701731, 22777217813040393, 589097686208575727 (list; graph; listen)

	OFFSET	`0,3`
	PROGRAM	`(PARI) a(n)=sum(k=0, n\2, binomial(2^k+n-2k-1, n-2k))`
	CROSSREFS	`Cf. A137153, A137154.` `Adjacent sequences: A137152 A137153 A137154 this_sequence A137156 A137157 A137158` `Sequence in context: A094373 A061902 A110113 this_sequence A014227 A064769 A119002`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jan 24 2008`

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

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