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A016257
Expansion of 1/((1-x)(1-8x)(1-10x)).
0
1, 19, 263, 3215, 36831, 405759, 4357183, 45968575, 478859711, 4941988799, 50647021503, 516287283135, 5241409376191, 53042386120639, 535450200076223, 5394712711720895, 54268812804878271, 545261613550137279
OFFSET
0,2
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
KEYWORD
nonn
STATUS
approved