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!)
 A107383 a(n) = 2*a(n-2) + 2*a(n-3). 2
 0, 1, 1, 2, 4, 6, 12, 20, 36, 64, 112, 200, 352, 624, 1104, 1952, 3456, 6112, 10816, 19136, 33856, 59904, 105984, 187520, 331776, 587008, 1038592, 1837568, 3251200, 5752320, 10177536, 18007040, 31859712, 56369152, 99733504, 176457728 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Also the number of maximal independent vertex sets (and minimal vertex covers) in the 2 X (n-2) king graph. - Eric W. Weisstein, Aug 07 2017 LINKS Noriaki Sannomiya, H Katsura, Y Nakayama, Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion, arXiv preprint arXiv:1612.02285, 2016. See Table II, line 1. Eric Weisstein's World of Mathematics, King Graph Eric Weisstein's World of Mathematics, Maximal Independent Vertex Set Eric Weisstein's World of Mathematics, Minimal Vertex Cover Index entries for linear recurrences with constant coefficients, signature (0,2,2). FORMULA G.f.: x*(1+x)/(1-2*x^2-2*x^3). a(n) = (-1)^(n+1)*A078025(n-1). Limit a(n)/a(n-1) = 1.7692923... . a(n)+a(n+1) = A061279(n). - R. J. Mathar, Dec 01 2011 MATHEMATICA m = 2; a = 0; a = 1; a = 1; a = 2; a[n_] := a[n] = a[n - 1] + m*a[n - 2] - m*a[n - 4]; Table[a[n], {n, 0, 50}] LinearRecurrence[{0, 2, 2}, {0, 1, 1}, 40] (* Harvey P. Dale, May 07 2014 *) Table[RootSum[-2 - 2 # + #^3 &, 5 #^n + 8 #^(n + 1) + #^(n + 2) &]/19, {n, 20}] (* Eric W. Weisstein, Aug 07 2017 *) CoefficientList[Series[-((2 (1 + 2 x + x^2))/(-1 + 2 x^2 + 2 x^3)), {x, 0, 20}], x] (* Eric W. Weisstein, Aug 07 2017 *) CROSSREFS Sequence in context: A329227 A294430 A294429 * A078025 A178901 A164146 Adjacent sequences:  A107380 A107381 A107382 * A107384 A107385 A107386 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 24 2005 EXTENSIONS Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009 First Mathematica program edited and corrected by Harvey P. Dale, May 07 2014 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 September 22 13:41 EDT 2021. Contains 347607 sequences. (Running on oeis4.)