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A078757 Values of A028470(n)/A000045(n+1). 1
1, 17, 51, 449, 1853, 12853, 61557, 382024, 1971559, 11585969, 62088471, 355111613, 1939427729, 10943439733, 60338602299, 338172377293, 1873494595072, 10464657396101, 58113694771149, 324052035315389, 1801727076022631, 10038214290617749, 55845947547948897 (list; graph; refs; listen; history; text; internal format)
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

Cf. A028470, A000045.

Sequence in context: A258598 A223906 A146673 * A041560 A195666 A041562

Adjacent sequences:  A078754 A078755 A078756 * A078758 A078759 A078760

KEYWORD

easy,nonn

AUTHOR

Michael David Hirschhorn, Jan 08 2003

EXTENSIONS

More terms from Vincenzo Librandi, Nov 13 2014

STATUS

approved

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Last modified September 21 21:57 EDT 2019. Contains 327282 sequences. (Running on oeis4.)