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A081343 (10^n+4^n)/2. 3
1, 7, 58, 532, 5128, 50512, 502048, 5008192, 50032768, 500131072, 5000524288, 50002097152, 500008388608, 5000033554432, 50000134217728, 500000536870912, 5000002147483648, 50000008589934592, 500000034359738368 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A025551. 7th binomial transform of (1,0,9,0,81,0,729,0,...).

FORMULA

a(n)=(10^n+4^n)/2. a(n)=14a(n-1)-40a(n-2), a(0)=1, a(1)=7. G.f.: (1-7x)/((1-4x)(1-10x)). E.g.f. exp(7x)cosh(3x).

((7+sqrt9)^n+(7-sqrt9)^n)/2 in Fibonacci form. [From Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008]

CROSSREFS

Cf. A081342.

Sequence in context: A006193 A139397 A194724 * A163048 A192940 A126130

Adjacent sequences:  A081340 A081341 A081342 * A081344 A081345 A081346

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.