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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
OFFSET
0,2
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
KEYWORD
nonn,easy
STATUS
approved