The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A107475 a(n)= 5*a(n-1) +3*a(n-2) -15*a(n-3) +5*a(n-4) +3*a(n-5) -a(n-6). 0
 1, 1, 2, 3, 5, 12, 42, 191, 933, 4680, 23575, 118989, 600666, 3032680, 15311545, 77306765, 390314982, 1970668439, 9949740765, 50235420192, 253634480330, 1280579531127, 6465540187905, 32643977982772, 164816746432131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..24. Index entries for linear recurrences with constant coefficients, signature (5, 3, -15, 5, 3, -1). FORMULA G.f.: (1-4*x-6*x^2+5*x^3-6*x^4)/( (x^3-5*x^2+6*x-1)*(x^3+2*x^2-x-1) ). MATHEMATICA m=3 M = {{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, {-1, m, (m + 2), -m*(m + 2), m, (m + 2)}} v[0] = {0, 1, 1, 2, 3, 5} v[n_] := M.v[n - 1] a = Table[v[n][[1]], {n, 1, 50}] LinearRecurrence[{5, 3, -15, 5, 3, -1}, {1, 1, 2, 3, 5, 12}, 30] (* Harvey P. Dale, Aug 30 2021 *) CROSSREFS Sequence in context: A000997 A266541 A301929 * A108225 A259503 A193064 Adjacent sequences: A107472 A107473 A107474 * A107476 A107477 A107478 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 27 2005 EXTENSIONS Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009 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 June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)