id:A116092 - OEIS Search Results

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Expansion of 1/sqrt(1+8x+64^x^2).

+0
2

1, -4, -8, 224, -1184, -2944, 84736, -467968, -1235456, 35956736, -202108928, -548651008, 16063381504, -91151859712, -251452325888, 7389369073664, -42180470767616, -117581870006272, 3464100777558016, -19854347412176896, -55753417460547584, 1645577388148391936 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`8th binomial transform is expansion of 1/sqrt(1-8x+64x^2).`
	FORMULA	`E.g.f.: exp(-4x)Bessel_I(0,2sqrt(-12)x); a(n)=2^nsum{k=0..n, C(n,n-k)C(n,k)(-3)^k}; a(n)=2^nA116091(n).`
	CROSSREFS	`Sequence in context: A120822 A013065 A013096 this_sequence A085631 A074073 A090653` `Adjacent sequences: A116089 A116090 A116091 this_sequence A116093 A116094 A116095`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 04 2006`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research