OFFSET
1,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
James A. Sellers, Domino Tilings and Products of Fibonacci and Pell Numbers, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.2
Index entries for linear recurrences with constant coefficients, signature (1,25,11,-47,-11,25,-1,-1).
FORMULA
a(n) = a(n-1)+25a(n-2)+11a(n-3)-47a(n-4)-11a(n-5)+25a(n-6)-a(n-7)-a(n-8).
G.f.: -x*(x^7+x^6-24*x^5+11*x^4+38*x^3-9*x^2-16*x-1)/(x^8+x^7-25*x^6+11*x^5+47*x^4-11*x^3-25*x^2-x+1). [Colin Barker, Jun 22 2012]
MATHEMATICA
CoefficientList[Series[-(x^7 + x^6 - 24 x^5 + 11 x^4 + 38 x^3 - 9 x^2 - 16 x - 1) / (x^8 + x^7 - 25 x^6 + 11 x^5 + 47 x^4 - 11 x^3 - 25 x^2 - x + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2014 *)
LinearRecurrence[{1, 25, 11, -47, -11, 25, -1, -1}, {1, 17, 51, 449, 1853, 12853, 61557, 382024}, 30] (* Harvey P. Dale, Jul 15 2017 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Michael David Hirschhorn, Jan 08 2003
EXTENSIONS
More terms from Vincenzo Librandi, Nov 13 2014
STATUS
approved