A028207 Expansion of 1/((1-6x)(1-7x)(1-10x)(1-11x)).

1, 34, 731, 12716, 195657, 2781030, 37422967, 484054192, 6078887573, 74632686986, 900223323363, 10706758727028, 125901196014049, 1466781515230702, 16957557634824719, 194793155476604024

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (34, -425, 2312, -4620).

Formula

a(n) = (-54/5)*6^n +(343/12)*7^n - (250/3)*10^n + (1331/20)*11^n. - N. J. A. Sloane, Mar 14 2011

a(n) = 21*a(n-1) - 110*a(n-2) + 7^(n+1) - 6^(n+1); a(0)=1, a(1)=34. - Vincenzo Librandi, Mar 13 2011

Mathematica

CoefficientList[Series[1/((1-6x)(1-7x)(1-10x)(1-11x)), {x, 0, 30}], x] (* Harvey P. Dale, Aug 17 2025 *)
(* Alternative: *)
LinearRecurrence[{34, -425, 2312, -4620}, {1, 34, 731, 12716}, 30] (* Harvey P. Dale, Aug 17 2025 *)

Crossrefs

Sequence in context: A296634 A016109 A028211 * A028193 A028206 A028192

Adjacent sequences: A028204 A028205 A028206 * A028208 A028209 A028210

Keyword

nonn

Author

N. J. A. Sloane

Status

approved