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A078757 Values of A028470(n)/A000045(n+1). 1

%I #16 Jul 15 2017 13:13:15

%S 1,17,51,449,1853,12853,61557,382024,1971559,11585969,62088471,

%T 355111613,1939427729,10943439733,60338602299,338172377293,

%U 1873494595072,10464657396101,58113694771149,324052035315389,1801727076022631,10038214290617749,55845947547948897

%N Values of A028470(n)/A000045(n+1).

%H Vincenzo Librandi, <a href="/A078757/b078757.txt">Table of n, a(n) for n = 1..1000</a>

%H James A. Sellers, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL5/Sellers/sellers4.html">Domino Tilings and Products of Fibonacci and Pell Numbers</a>, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.2

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,25,11,-47,-11,25,-1,-1).

%F 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).

%F 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]

%t 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 *)

%t LinearRecurrence[{1,25,11,-47,-11,25,-1,-1},{1,17,51,449,1853,12853,61557,382024},30] (* _Harvey P. Dale_, Jul 15 2017 *)

%Y Cf. A028470, A000045.

%K easy,nonn

%O 1,2

%A _Michael David Hirschhorn_, Jan 08 2003

%E More terms from _Vincenzo Librandi_, Nov 13 2014

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)