The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A081655 2*5^n-1. 22
 1, 9, 49, 249, 1249, 6249, 31249, 156249, 781249, 3906249, 19531249, 97656249, 488281249, 2441406249, 12207031249, 61035156249, 305175781249, 1525878906249, 7629394531249, 38146972656249, 190734863281249 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A081654. Inverse binomial transform of A081656. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (6,-5). FORMULA G.f.: (1+3*x)/((1-5*x)*(1-x)). E.g.f. 2*exp(5*x)-exp(x). a(n) = 5*a(n-1)+4, with a(0)=1. - Vincenzo Librandi, Aug 01 2010 MATHEMATICA CoefficientList[Series[(1 + 3 x) / ((1 - 5 x) (1 - x)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 10 2013 *) NestList[5#+4&, 1, 30] (* Harvey P. Dale, Jul 04 2014 *) PROG (MAGMA) [2*5^n-1: n in [0..30]]; // Vincenzo Librandi, Aug 10 2013 (PARI) a(n)=2*5^n-1 \\ Charles R Greathouse IV, Sep 24 2015 CROSSREFS Sequence in context: A060867 A192814 A228018 * A181539 A224473 A146798 Adjacent sequences:  A081652 A081653 A081654 * A081656 A081657 A081658 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 26 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)