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 A166984 a(n) = 20*a(n-1) - 64*a(n-2) for n > 1; a(0) = 1, a(1) = 20. 6
 1, 20, 336, 5440, 87296, 1397760, 22368256, 357908480, 5726601216, 91625881600, 1466015154176, 23456246661120, 375299963355136, 6004799480791040, 96076791961092096, 1537228672451215360, 24595658763514413056 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Partial sums of A166965. lim_{n -> infinity} a(n)/a(n-1) = 16. a(n) = A115490(n+1)/3. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..830 (terms 0..200 from Vincenzo Librandi) E. SaltÃ¼rk and I. Siap, Generalized Gaussian Numbers Related to Linear Codes over Galois Rings, European Journal of Pure and Applied Mathematics, Vol. 5, No. 2, 2012, 250-259; ISSN 1307-5543. - From N. J. A. Sloane, Oct 23 2012 Index entries for linear recurrences with constant coefficients, signature (20, -64). FORMULA a(n) = (4*16^n - 4^n)/3. G.f.: 1/((1-4*x)*(1-16*x)). From Robert A. Russell, Apr 03 2013: (Start) E.g.f.: sinh(x)^4/4!. a(n) = Sum{n>=0, a(n) x^(2n+4)/(2n+4)!}. (End) MATHEMATICA LinearRecurrence[{20, -64}, {1, 20}, 30] (* Harvey P. Dale, Jul 04 2012 *) PROG (MAGMA) [ n le 2 select 19*n-18 else 20*Self(n-1)-64*Self(n-2): n in [1..17] ]; CROSSREFS Cf. A006105, A166965, A115490, A166914, A166917, A166927, A002452, A002453, A307695. Sequence in context: A187512 A144507 A084032 * A167031 A268787 A272183 Adjacent sequences:  A166981 A166982 A166983 * A166985 A166986 A166987 KEYWORD nonn AUTHOR Klaus Brockhaus, Oct 26 2009 STATUS approved

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Last modified September 15 08:37 EDT 2019. Contains 327062 sequences. (Running on oeis4.)