A028194 Expansion of 1/((1-5x)(1-8x)(1-10x)(1-12x)).

1, 35, 779, 14095, 226491, 3373575, 47712739, 650313455, 8625455531, 112077065815, 1433487819699, 18110309247615, 226591110120571, 2813231293937255, 34711873203654659, 426167229337538575

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (35,-446,2440,-4800).

Formula

a(n) = 22*a(n-1) - 120*a(n-2) + (8^(n+1) - 5^(n+1))/3, n >= 2. - Vincenzo Librandi, Mar 12 2011

a(n) = (54*12^(n+1) - 105*10^(n+1) + 7*8^(n+2) - 5^(n+2))/21. - Bruno Berselli, Mar 12 2011

Mathematica

CoefficientList[Series[1/((1-5x)(1-8x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{35, -446, 2440, -4800}, {1, 35, 779, 14095}, 20] (* Harvey P. Dale, Dec 26 2024 *)

Crossrefs

Sequence in context: A028212 A028196 A028208 * A004348 A028189 A028162

Adjacent sequences: A028191 A028192 A028193 * A028195 A028196 A028197

Keyword

nonn

Author

N. J. A. Sloane

Status

approved