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A048491 a(n) = T(8,n), array T given by A048483. 3
1, 10, 28, 64, 136, 280, 568, 1144, 2296, 4600, 9208, 18424, 36856, 73720, 147448, 294904, 589816, 1179640, 2359288, 4718584, 9437176, 18874360, 37748728, 75497464, 150994936, 301989880, 603979768, 1207959544, 2415919096 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

n-th difference of a(n), a(n-1), ..., a(0) is (9, 9, 9, ...).

LINKS

Table of n, a(n) for n=0..28.

FORMULA

a(n) = 9 * 2^n - 8. - Ralf Stephan

Equals binomial transform of [1, 9, 9, 9,...]. - Gary W. Adamson, Apr 29 2008

a(n) = 2*a(n-1) + 8, with a(0)=1. - Vincenzo Librandi, Aug 06 2010

a(n) = 2*A053209(n), n>0. - Philippe Deléham, Apr 15 2013

a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=1, a(1)=10. - Philippe Deléham, Apr 15 2013

G.f.: (1+7*x)/((1-x)*(1-2*x)). - Philippe Deléham, Apr 15 2013

MATHEMATICA

a=1; lst={a}; k=9; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 16 2008 *)

CROSSREFS

Sequence in context: A054112 A053790 A269441 * A124703 A251319 A126364

Adjacent sequences:  A048488 A048489 A048490 * A048492 A048493 A048494

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified November 17 11:02 EST 2019. Contains 329226 sequences. (Running on oeis4.)