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 A048879 Generalized Pellian with second term of 10. 2
 1, 10, 41, 174, 737, 3122, 13225, 56022, 237313, 1005274, 4258409, 18038910, 76414049, 323695106, 1371194473, 5808472998, 24605086465, 104228818858, 441520361897, 1870310266446, 7922761427681, 33561355977170, 142168185336361, 602234097322614 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..1000 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (4,1) FORMULA a(n) = ((8+sqrt(5))*(2+sqrt(5))^n - (8-sqrt(5))*(2-sqrt(5))^n)2*sqrt(5). From Philippe Deléham, Nov 03 2008: (Start) a(n) = 4*a(n-1) + a(n-2); a(0)=1, a(1)=10. G.f.: (1+6*x)/(1-4*x-x^2). (End) For n >= 1, a(n) equals the denominator of the continued fraction [4, 4, ..., 4, 10] (with n copies of 4). The numerator of that continued fraction is a(n+1). - ZhenShu Luan, Aug 05 2019 MAPLE with(combinat): a:=n->6*fibonacci(n-1, 4)+fibonacci(n, 4): seq(a(n), n=1..16); # Zerinvary Lajos, Apr 04 2008 MATHEMATICA LinearRecurrence[{4, 1}, {1, 10}, 30] (* Harvey P. Dale, Jul 18 2011 *) PROG (Haskell) a048879 n = a048879_list !! n a048879_list = 1 : 10 : zipWith (+)                         a048879_list (map (* 4) \$ tail a048879_list) -- Reinhard Zumkeller, Mar 03 2014 CROSSREFS Cf. A015448, A001077, A001076, A033887. Sequence in context: A294604 A061003 A211064 * A221805 A089211 A220927 Adjacent sequences:  A048876 A048877 A048878 * A048880 A048881 A048882 KEYWORD easy,nice,nonn AUTHOR EXTENSIONS More terms from Harvey P. Dale, Jul 18 2011 STATUS approved

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Last modified August 8 01:39 EDT 2020. Contains 336286 sequences. (Running on oeis4.)