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A019783 Expansion of 1/((1-5x)(1-6x)(1-8x)). 1
1, 19, 243, 2615, 25571, 235599, 2086603, 17981815, 151979091, 1266533279, 10446235163, 85502523015, 695860175011, 5639142048559, 45552803794923, 367090952376215, 2952891339001331, 23720875971413439 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (19,-118,240).

FORMULA

From Vincenzo Librandi, Oct 09 2011: (Start)

a(n) = (8^(n+2) + 2*5^(n+2) - 3*6^(n+2))/6.

a(n) = 14*a(n-1) - 48*a(n-2) + 5^n.

a(n) = 19*a(n-1) - 118*a(n-2) + 240*a(n-3), n >= 3. (End)

PROG

(MAGMA) [(8^(n+2)+2*5^(n+2)-3*6^(n+2))/6 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011

(PARI) Vec(1/((1-5*x)*(1-6*x)*(1-8*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

CROSSREFS

Sequence in context: A107203 A021544 A021772 * A021504 A019512 A025927

Adjacent sequences:  A019780 A019781 A019782 * A019784 A019785 A019786

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 25 00:03 EDT 2022. Contains 354047 sequences. (Running on oeis4.)