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A028196 Expansion of 1/((1-5x)(1-9x)(1-10x)(1-11x)). 1
1, 35, 776, 13930, 221151, 3240825, 44906926, 597218720, 7698198101, 96837355615, 1194615734676, 14505367659510, 173840151316651, 2060770407338405, 24205227062904026, 282088240414000300, 3265447176464616801, 37582206965366853195, 430364865022642734976 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (35,-449,2485,-4950).

FORMULA

a(n) = 21*a(n-1) - 110*a(n-2) + (9^(n+1) - 5^(n+1))/4, n>=2. - Vincenzo Librandi, Mar 12 2011

a(n) = -5^(n+2)/24 +11^(n+3)/12 -2*10^(n+2) +3^(2*n+6)/8. - R. J. Mathar, Mar 14 2011

MATHEMATICA

CoefficientList[ Series[1/(1 - 35x + 449x^2 - 2485x^3 + 4950x^4), {x, 0, 15}], x] (* Or *)

a[n_] := 21 a[n - 1] - 110 a[n - 2] + (9^(n + 1) - 5^(n + 1))/4; a[0] = 1; a[1] = 35; Array[a, 16, 0] (* Robert G. Wilson v, Mar 14 2011 *)

LinearRecurrence[{35, -449, 2485, -4950}, {1, 35, 776, 13930}, 20] (* Harvey P. Dale, Feb 24 2014 *)

PROG

(MAGMA) I:=[1, 35, 776, 13930]; [n le 4 select I[n] else 35*Self(n-1)-449*Self(n-2)+2485*Self(n-3)-4950*Self(n-4): n in [1..20]]; // Vincenzo Librandi, Feb 26 2014

CROSSREFS

Sequence in context: A334909 A028213 A028212 * A028208 A028194 A004348

Adjacent sequences:  A028193 A028194 A028195 * A028197 A028198 A028199

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Feb 26 2014

STATUS

approved

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Last modified December 8 17:01 EST 2021. Contains 349596 sequences. (Running on oeis4.)