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A116092 Expansion of 1/sqrt(1+8*x+64*x^2). 1
1, -4, -8, 224, -1184, -2944, 84736, -467968, -1235456, 35956736, -202108928, -548651008, 16063381504, -91151859712, -251452325888, 7389369073664, -42180470767616, -117581870006272, 3464100777558016, -19854347412176896, -55753417460547584, 1645577388148391936 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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^n*sum{k=0..n, C(n,n-k)C(n,k)(-3)^k}; a(n)=2^n*A116091(n).

CROSSREFS

Sequence in context: A013065 A013096 A200729 * A085631 A074073 A090653

Adjacent sequences:  A116089 A116090 A116091 * A116093 A116094 A116095

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 04 2006

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Last modified February 16 16:32 EST 2012. Contains 205938 sequences.