A117381 - OEIS

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A117381

Expansion of 1/((1-4*x*c(x))(1-x^2*c(x))), c(x) the g.f. of A000108.

1, 4, 21, 109, 575, 3047, 16192, 86171, 458972, 2445825, 13037508, 69509558, 370634265, 1976421031, 10539858413, 56208784808, 299766435277, 1598704176149, 8526238418811, 45472594256564, 242517996824355 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Diagonal sums of number triangle A117380.`
	FORMULA	`a(n)=sum{k=0..floor(n/2), [k<=n-k]sum{j=0..n-k, (j/(n-k-j))C(2n-k-j,n-k-j)[k<=j]*4^(j-k)}}`
	CROSSREFS	`Sequence in context: A083425 A183367 A100237 * A010908 A136786 A026335` `Adjacent sequences: A117378 A117379 A117380 * A117382 A117383 A117384`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 10 2006`

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.