id:A101106 - OEIS Search Results

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A Chebyshev transform of the central Delannoy numbers.

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1, 3, 12, 57, 283, 1440, 7461, 39159, 207492, 1107549, 5946543, 32080032, 173748913, 944185827, 5145534876, 28110823401, 153904324315, 844210620000, 4638535417701, 25524848838951, 140647394816532, 775943203532733 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Image of 1/sqrt(1-6x+x^2) under the mapping that takes g(x) to (1/(1+x^2))g(x/(1+x^2)).`
	FORMULA	`G.f.: 1/sqrt(1-6x+3x^2-6x^3+x^4); a(n)=sum{k=0..n, binomial(n-k, k)(-1)^k*A001850(n-2k)}.`
	CROSSREFS	`Sequence in context: A106570 A027140 A110309 this_sequence A165310 A133158 A047891` `Adjacent sequences: A101103 A101104 A101105 this_sequence A101107 A101108 A101109`
	KEYWORD	`nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Dec 01 2004`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

AT&T Labs Research