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A081338 (9^n+5^n)/2. 2
1, 7, 53, 427, 3593, 31087, 273533, 2430547, 21718673, 194686807, 1748275013, 15714943867, 141336838553, 1271543265727, 11441447985293, 102960824836387, 926586388371233, 8338972319559847, 75049224997132373, 675435395579660107 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081337. 7th binomial transform of (1,0,4,0,16,0,64,....).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (14,-45).

FORMULA

a(n) = 14*a(n-1)-45*a(n-2), a(0)=1, a(1)=7.

G.f.: (1-7*x)/((1-5*x)*(1-9*x)).

E.g.f.: exp(7*x) * cosh(2*x).

MATHEMATICA

CoefficientList[Series[(1 - 7 x) / ((1 - 5 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Aug 08 2013 *)

PROG

(MAGMA) [(9^n+5^n)/2: n in [0..25]]; // Vincenzo Librandi, Aug 08 2013

CROSSREFS

Sequence in context: A015561 A133588 A163306 * A142981 A120272 A057180

Adjacent sequences:  A081335 A081336 A081337 * A081339 A081340 A081341

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 18 2003

STATUS

approved

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Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)