A016201 Expansion of 1/((1-x)(1-2x)(1-7x)).

1, 10, 77, 554, 3909, 27426, 192109, 1345018, 9415637, 65910482, 461375421, 3229632042, 22607432485, 158252043778, 1107764339213, 7754350440026, 54280453211253, 379963172740914, 2659742209710685

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (10,-23,14).

Formula

a(n) = (49*7^n - 24*2^n + 5)/30. - Bruno Berselli, Feb 09 2011

a(0)=1, a(n) = 7*a(n-1) + 2^(n+1) - 1. - Vincenzo Librandi, Feb 09 2011

Maple

a:=n->sum((7^(n-j+1)-2^(n-j+1))/5, j=0..n+1): seq(a(n), n=0..19); # Zerinvary Lajos, Jan 15 2007

Mathematica

CoefficientList[Series[1/((1-x)(1-2x)(1-7x)), {x, 0, 20}], x](* or *) LinearRecurrence[{10, -23, 14}, {1, 10, 77}, 20] (* Harvey P. Dale, Mar 06 2019 *)

Crossrefs

Sequence in context: A081678 A081182 A127536 * A080618 A298270 A082136

Adjacent sequences: A016198 A016199 A016200 * A016202 A016203 A016204

Keyword

nonn

Author

N. J. A. Sloane

Status

approved