A028121 Expansion of 1/((1-4x)(1-5x)(1-8x)(1-10x)).

1, 27, 467, 6615, 83811, 990927, 11193547, 122534775, 1311833171, 13818932127, 143838758427, 1483810444935, 15202640928931, 154948536206127, 1572891821232107, 15916318178611095, 160663127276015091

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (27,-262,1080,-1600).

Formula

a(n) = 27*a(n-1) - 262*a(n-2) + 1080*a(n-3) - 1600*a(n-4), n>=4. - Vincenzo Librandi, Mar 17 2011

a(n) = 18*a(n-1) - 80*a(n-2) + 5^(n+1) - 4^(n+1), n>=2. - Vincenzo Librandi, Mar 17 2011

a(n) = 5*10^(n+1)/3 +5^(n+2)/3 -8^(n+2)/3 -2*4^(n+1)/3. - R. J. Mathar, Mar 17 2011

Mathematica

CoefficientList[Series[1/((1 - 4 x) (1 - 5 x) (1 - 8 x) (1 - 10 x)), {x, 0, 30}], x] (* Vincenzo Librandi, May 20 2014 *)

Crossrefs

Sequence in context: A028135 A028132 A028089 * A028080 A028118 A028068

Adjacent sequences: A028118 A028119 A028120 * A028122 A028123 A028124

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved