id:A119358 - OEIS Search Results

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A119358

Central coefficients of number triangle A119326.

+0
2

1, 1, 2, 10, 38, 126, 452, 1716, 6470, 24310, 92252, 352716, 1352540, 5200300, 20056584, 77558760, 300546630, 1166803110, 4537543340, 17672631900, 68923356788, 269128937220, 1052049129144, 4116715363800, 16123803193628 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(n)=A119326(2n,n). a(n)-A119359(n)=A071688(n).`
	FORMULA	`G.f.: (1/sqrt(1-4x)+1/sqrt(1+4x^2))/2; a(n)=sum{k=0..n, C(n,2k)^2}; a(n)=C(2n,n)/2+sin(pi(n+1)/2)C(n,n/2)/2;`
	CROSSREFS	`Sequence in context: A005968 A046241 A048499 this_sequence A110148 A056182 A081956` `Adjacent sequences: A119355 A119356 A119357 this_sequence A119359 A119360 A119361`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2006`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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