A016183 - OEIS

A016183

Expansion of 1/((1-7x)(1-11x)).

1, 18, 247, 3060, 36061, 413478, 4665907, 52148520, 579398521, 6413737338, 70833585967, 781146772380, 8606455783381, 94767902627598, 1043125151976427, 11479124233250640, 126303599496326641

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (18, -77).

FORMULA

((9+sqrt4)^n - (9-sqrt4)^n)/4 in Fibonacci form. Offset 1. a(3)=247. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008

a(n) = 18*a(n-1) - 77*a(n-2). - Philippe Deléham, Jan 01 2009

a(n) = 11*a(n-1) + 7^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

MATHEMATICA

Join[{a=1, b=18}, Table[c=18*b-77*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 09 2011 *)

CROSSREFS

Sequence in context: A001713 A110395 A153600 * A016239 A153886 A154241

Adjacent sequences: A016180 A016181 A016182 * A016184 A016185 A016186

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved