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A019747
Expansion of 1/((1-4x)(1-10x)(1-12x)).
1
1, 26, 468, 7240, 103376, 1406496, 18541888, 239158400, 3036523776, 38104777216, 473923294208, 5853743400960, 71911576293376, 879605537447936, 10721932937084928, 130329861195857920, 1580624998153650176
OFFSET
0,2
FORMULA
a(n)= -25*10^n/3 +9*12^n +4^n/3. - R. J. Mathar, Nov 11 2012
a(0)=1, a(1)=26, a(2)=468; for n>2, a(n) = 26*a(n-1) -208*a(n-2) +480*a(n-3). - Vincenzo Librandi, Jul 03 2013
a(n) = 22*a(n-1) -120*a(n-2) +4^n. - Vincenzo Librandi, Jul 03 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - 4 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 03 2013 *)
LinearRecurrence[{26, -208, 480}, {1, 26, 468}, 20] (* Harvey P. Dale, Nov 28 2018 *)
PROG
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-4*x)*(1-10*x)*(1-12*x)))); /* or */ I:=[1, 26, 468]; [n le 3 select I[n] else 26*Self(n-1)-208*Self(n-2)+480*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 2013
CROSSREFS
Sequence in context: A158425 A020566 A021724 * A163740 A021334 A018208
KEYWORD
nonn,easy
AUTHOR
STATUS
approved