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A016302
Expansion of 1/((1-2*x)*(1-5*x)*(1-12*x)).
1
1, 19, 267, 3407, 41915, 508167, 6124003, 73618159, 884068779, 10612080215, 127361237939, 1528416234111, 18341401707643, 220098854991463, 2641196432412675, 31694408051560463, 380333150931832907
OFFSET
0,2
FORMULA
G.f.: 1/((1-2*x)*(1-5*x)*(1-12*x)).
From Vincenzo Librandi, Sep 01 2011: (Start)
a(n) = (14*2^n - 125*5^n + 216*12^n)/105.
a(n) = 19*a(n-1)- 94*a(n-2) + 120*a(n-3) for n > 2.
a(n) = 17*a(n-1) - 60*a(n-2) + 2^n for n > 1. (End)
PROG
(Magma) [(14*2^n-125*5^n+216*12^n)/105: n in [0..20]]; // Vincenzo Librandi, Sep 01 2011
CROSSREFS
Sequence in context: A017161 A036736 A016254 * A253217 A245237 A141942
KEYWORD
nonn,easy
STATUS
approved