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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).

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). [Philippe Deléham, Nov 03 2008]

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

Barry E. Williams

EXTENSIONS

More terms from Harvey P. Dale, Jul 18 2011

STATUS

approved

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Last modified November 19 10:44 EST 2017. Contains 294936 sequences.