A016257 Expansion of 1/((1-x)(1-8x)(1-10x)).

1, 19, 263, 3215, 36831, 405759, 4357183, 45968575, 478859711, 4941988799, 50647021503, 516287283135, 5241409376191, 53042386120639, 535450200076223, 5394712711720895, 54268812804878271, 545261613550137279

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (19, -98, 80).

Formula

a(n) = 18*a(n-1) - 80*a(n-2) + 1, n >= 2. - Vincenzo Librandi, Mar 21 2011

a(n) = (1/63)*(7*2^(n+1)*5^(n+2) - 9*2^(3*n+5) + 1). - Vincenzo Librandi, Mar 21 2011

a(0)=1, a(1)=19, a(2)=263, a(n) = 19*a(n-1) - 98*a(n-2) + 80*a(n-3). - Harvey P. Dale, Dec 14 2011

Mathematica

CoefficientList[Series[1/((1-x)(1-8x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{19, -98, 80}, {1, 19, 263}, 30] (* Harvey P. Dale, Dec 14 2011 *)

Prog

(PARI) Vec(1/((1-x)*(1-8*x)*(1-10*x)) + O(x^40)) \\ Michel Marcus, Sep 04 2017

Crossrefs

Sequence in context: A244652 A142817 A294828 * A021104 A209075 A017161

Adjacent sequences: A016254 A016255 A016256 * A016258 A016259 A016260

Keyword

nonn

Author

N. J. A. Sloane

Status

approved