id:A104530 - OEIS Search Results

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Expansion of (1+sqrt(1-4x))/(4sqrt(1-4x)-2).

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2

1, 3, 15, 78, 411, 2178, 11574, 61596, 328083, 1748346, 9319650, 49688004, 264943902, 1412826132, 7534329804, 40180417848, 214285867011, 1142822599722, 6094924220394, 32505784870068, 173362418710506, 924593002335612 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Apply the Riordan matrix ((1+sqrt(1-4x))/2,(1-sqrt(1-4x))/2) (inverse of (1/(1-x),x(1-x))) to 4^n.`
	FORMULA	`a(n)=0^n+sum{k=0..n, 3^(k+1)*C(2n-1, n-k-1)2(k+1)/(n+k+1);`
	CROSSREFS	`Cf. A088218, A067336, A076025.` `Sequence in context: A074561 A026115 A027911 this_sequence A031884 A052755 A137957` `Adjacent sequences: A104527 A104528 A104529 this_sequence A104531 A104532 A104533`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 12 2005`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

AT&T Labs Research