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A081337 (8^n+4^n)/2. 2
1, 6, 40, 288, 2176, 16896, 133120, 1056768, 8421376, 67239936, 537395200, 4297064448, 34368126976, 274911461376, 2199157473280, 17592722915328, 140739635838976, 1125908496777216, 9007233614479360, 72057731476881408 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081336. 6th binomial transform of (1,0,4,0,16,0,64,....).

FORMULA

a(n)=(8^n+4^n)/2. a(n)=12a(n-1)-32a(n-2), a(0)=1, a(1)=6. G.f.: (1-6x)/((1-4x)(1-8x)). E.g.f. exp(6x)cosh(2x).

CROSSREFS

Cf. A081338.

Sequence in context: A090041 A069720 A005037 * A138240 A083805 A181571

Adjacent sequences:  A081334 A081335 A081336 * A081338 A081339 A081340

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 18 2003

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Last modified February 17 08:21 EST 2012. Contains 205998 sequences.