This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A167120 a(n) = 20*a(n-1) - 64*a(n-2) + 1 for n > 2; a(0) = 1, a(1) = 22, a(2) = 376. 5
 1, 22, 376, 6113, 98197, 1572709, 25169573, 402738085, 6443909029, 103102943141, 1649648684965, 26394385338277, 422310190927781, 6756963156905893, 108111410918739877, 1729782576332820389, 27676521227857055653 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS lim_{n -> infinity} a(n)/a(n-1) = 16. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (21,-84,64). FORMULA a(n) = (4321*16^n - 1460*4^n + 64)/2880, for n > 0. G.f.: (1 + x - 2*x^2 + x^3)/((1-x)*(1-4*x)*(1-16*x)). E.g.f.: (1/2880)*(-45 + 64*exp(x) - 1460*exp(4*x) + 4321*exp(16*x)). - G. C. Greubel, Jun 04 2016 MATHEMATICA CoefficientList[Series[(1 + x - 2*x^2 + x^3)/((1 - x)*(1 - 4*x)*(1 - 16*x)), {x, 0, 10}], x] (* G. C. Greubel, Jun 04 2016 *) LinearRecurrence[{21, -84, 64}, {1, 22, 376, 6113}, 20] (* Harvey P. Dale, Jul 13 2018 *) PROG (MAGMA) [ n le 2 select 21*n-20 else n eq 3 select 376 else 20*Self(n-1)-64*Self(n-2)+1: n in [1..17] ]; CROSSREFS Cf. A166912, A166913, A167121, A167122. Sequence in context: A081127 A016196 A238318 * A167121 A167122 A132167 Adjacent sequences:  A167117 A167118 A167119 * A167121 A167122 A167123 KEYWORD nonn AUTHOR Klaus Brockhaus, Oct 27 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 19 23:16 EDT 2019. Contains 323411 sequences. (Running on oeis4.)