id:A102879 - OEIS Search Results

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A Chebyshev transform of the first kind of the central binomial numbers.

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2

1, 2, 4, 14, 48, 162, 556, 1934, 6784, 23954, 85044, 303294, 1085712, 3898962, 14040156, 50678814, 183309312, 664263714, 2411050084, 8764098158, 31899231088, 116244082178, 424064770188, 1548543412398, 5659898710912 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Image of 1/sqrt(1-4x) under the mapping g(x)->((1-x^2)/(1+x^2))g(x/(1+x^2)).`
	FORMULA	`G.f.: (1-x^2)/sqrt(1-4x+2x^2-4x^3+x^4); a(n)=nsum{k=0..floor(n/2), C(n-k, k)(-1)^kC(2(n-2k), n-2k)/(n-k)}.`
	CROSSREFS	`Cf. A101500, A102880.` `Sequence in context: A054936 A006443 A152103 this_sequence A032312 A032222 A046650` `Adjacent sequences: A102876 A102877 A102878 this_sequence A102880 A102881 A102882`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 15 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research