A028171 Expansion of 1/((1-5x)(1-6x)(1-8x)(1-10x)).

1, 29, 533, 7945, 105021, 1285809, 14944693, 167428745, 1826266541, 19529198689, 205738222053, 2142884743545, 22124707610461, 226886218153169, 2314414985326613, 23511240805642345, 238065299395424781

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (29, -308, 1420, -2400).

Formula

a(n)=(3*10^(n+3)-10*8^(n+3)+15*6^(n+3)-8*5^(n+3))/12 = (-2^(3*n+7)+2^n*3^(n+4)-5^(n+2)+3*2^n*5^(n+2))/3. [Yahia Kahloune, May 31 2013]

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-8x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -308, 1420, -2400}, {1, 29, 533, 7945}, 30] (* Harvey P. Dale, Dec 12 2014 *)

Crossrefs

Sequence in context: A305315 A225899 A028180 * A028146 A121046 A028168

Adjacent sequences: A028168 A028169 A028170 * A028172 A028173 A028174

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved