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A083421 a(n)=2*5^n-2^n. 2
1, 8, 46, 242, 1234, 6218, 31186, 156122, 780994, 3905738, 19530226, 97654202, 488277154, 2441398058, 12207014866, 61035123482, 305175715714, 1525878775178, 7629394269106, 38146972131962, 190734862232674 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Third binomial transform of A014551(n+1)

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (7,-10)

FORMULA

G.f.: (1+x)/((1-2x)(1-5x));

e.g.f.: 2exp(5x)-exp(2x).

a(0)=1, a(1)=8, a(n)=7*a(n-1)-10*a(n-2). - Harvey P. Dale, Dec 03 2015

MATHEMATICA

Table[2*5^n-2^n, {n, 0, 20}] (* or *) LinearRecurrence[{7, -10}, {1, 8}, 30] (* Harvey P. Dale, Dec 03 2015 *)

CROSSREFS

Sequence in context: A026867 A026885 A052244 * A113992 A037070 A141788

Adjacent sequences:  A083418 A083419 A083420 * A083422 A083423 A083424

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 29 2003

STATUS

approved

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Last modified July 30 23:12 EDT 2021. Contains 346365 sequences. (Running on oeis4.)