The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60, we have over 367,000 sequences, and we’ve crossed 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A155455 a(n) = 5*a(n-1)+16*a(n-2), n>1 ; a(0)=0, a(1)=1. 0
 0, 1, 5, 41, 285, 2081, 14965, 108121, 780045, 5630161, 40631525, 293240201, 2116305405, 15273370241, 110227737685, 795512612281, 5741206864365, 41434236118321, 299030490421445, 2158100230000361, 15574988996744925 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..20. Index entries for linear recurrences with constant coefficients, signature (5,16). FORMULA G.f.: x/(1-5*x-16*x^2). a(n) = -(1/89^(1/2)) *32^n *((-1)^n*(5+89^(1/2))^(-n)-(-5+89^(1/2))^(-n)). - Paolo P. Lava, Jan 26 2009, adapted Apr 01 2011 CROSSREFS Cf. A015568 (binomial transform). Sequence in context: A083300 A308247 A223009 * A218349 A154577 A198688 Adjacent sequences: A155452 A155453 A155454 * A155456 A155457 A155458 KEYWORD nonn,easy AUTHOR Philippe Deléham, Jan 22 2009 EXTENSIONS Regularized: a(0) set to 0. - R. J. Mathar, Apr 01 2011 STATUS approved

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

Last modified December 1 21:17 EST 2023. Contains 367502 sequences. (Running on oeis4.)