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A135092 Binomial transform of [1, 6, 1, 6, 1, 6, ...]. 4
1, 7, 14, 28, 56, 112, 224, 448, 896, 1792, 3584, 7168, 14336, 28672, 57344, 114688, 229376, 458752, 917504, 1835008, 3670016, 7340032, 14680064, 29360128, 58720256, 117440512, 234881024, 469762048, 939524096, 1879048192, 3758096384, 7516192768, 15032385536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..3000

Index entries for linear recurrences with constant coefficients, signature (2).

FORMULA

a(n) = 7*2^(n-1) for n>0, a(0)=1.

a(n) = Sum_{k=0..n} A097805(n,k)*7^k*(-5)^(n-k). - Philippe Deléham, Nov 19 2007

G.f.: (1+5*x)/(1-2*x). - Bruno Berselli, Sep 20 2011

E.g.f.: (1/2)*(7*exp(2*x) - 5). - G. C. Greubel, Sep 22 2016

a(n) = A125176(n+2) for n >= 1. - Georg Fischer, Nov 02 2018

EXAMPLE

a(3) = (1, 3, 3, 1) dot (1, 6, 1, 6) = (1 + 18 + 3 + 6) = 28 = 7*2^2.

MATHEMATICA

Join[{1}, NestList[2#&, 7, 50]] (* Harvey P. Dale, Aug 30 2015 *)

CROSSREFS

Essentially identical to A005009 and to A125176.

Sequence in context: A196876 A115876 A005009 * A245417 A332371 A058530

Adjacent sequences:  A135089 A135090 A135091 * A135093 A135094 A135095

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson, Nov 18 2007

EXTENSIONS

Corrected and extended by Philippe Deléham and N. J. A. Sloane, Dec 15 2007

STATUS

approved

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Last modified September 21 02:46 EDT 2020. Contains 337266 sequences. (Running on oeis4.)