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A016133 Expansion of 1/((1-2*x)*(1-9*x)). 7
1, 11, 103, 935, 8431, 75911, 683263, 6149495, 55345711, 498111911, 4483008223, 40347076055, 363123688591, 3268113205511, 29413018865983, 264717169826615, 2382454528505071, 21442090756676711, 192978816810352543 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11,-18).

FORMULA

a(n) = -2^(n+1)/7 + 9^(n+1)/7. - Paolo P. Lava, Jun 16 2008

a(n) = 11*a(n-1) - 18*a(n-2).

a(n) = 9*a(n-1) + 4*a(n-2) - 36*a(n-3); a(n) = 9*a(n-1) + 2^n. - Paul Curtz, Feb 14 2008

MATHEMATICA

Join[{a=1, b=11}, Table[c=11*b-18*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)

PROG

(Sage) [lucas_number1(n, 11, 18) for n in xrange(1, 20)] # Zerinvary Lajos, Apr 27 2009

(MAGMA) [-2^(n+1)/7 +9^(n+1)/7: n in [0..20]]; // Vincenzo Librandi, Aug 14 2011

(PARI) Vec(1/((1-2*x)*(1-9*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 23 2012

CROSSREFS

Sequence in context: A156948 A287302 A141915 * A287833 A155594 A077250

Adjacent sequences:  A016130 A016131 A016132 * A016134 A016135 A016136

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 26 17:36 EDT 2019. Contains 323597 sequences. (Running on oeis4.)