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A020584
Expansion of 1/((1-6x)(1-8x)(1-10x)).
1
1, 24, 388, 5280, 65296, 760704, 8515648, 92705280, 989122816, 10397865984, 108092228608, 1114193633280, 11410283892736, 116262680100864, 1179983894560768, 11939165879009280, 120509095367213056
OFFSET
0,2
FORMULA
a(n) = 9*6^n/2 -16*8^n +25*10^n/2. - R. J. Mathar, Jun 30 2013
a(0)=1, a(1)=24, a(2)=388; for n>2, a(n) = 24*a(n-1) -188*a(n-2) +480*a(n-3). - Vincenzo Librandi, Jul 04 2013
a(n) = 18*a(n-1) -80*a(n-2) +6^n. - Vincenzo Librandi, Jul 04 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - 6 x) (1 - 8 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 04 2013 *)
PROG
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-6*x)*(1-8*x)*(1-10*x)))); /* or */ I:=[1, 24, 388]; [n le 3 select I[n] else 24*Self(n-1)-188*Self(n-2)+480*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 04 2013
CROSSREFS
Sequence in context: A022455 A021954 A025950 * A025970 A021924 A020494
KEYWORD
nonn,easy
AUTHOR
STATUS
approved