|
|
A017161
|
|
Expansion of 1/((1-3x)(1-4x)(1-12x)).
|
|
1
|
|
|
1, 19, 265, 3355, 41041, 495859, 5964505, 71633035, 859838881, 10319056099, 123832690345, 1486008529915, 17832167873521, 213986278134739, 2567836397009785, 30814041016037995, 369768509243184961
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 19*a(n-1) - 96*a(n-2) + 144*a(n-3).
a(n) = 16*a(n-1) - 48*a(n-2) + 3^n. (End)
|
|
MATHEMATICA
|
CoefficientList[Series[1 / ((1 - 3 x) (1 - 4 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jun 26 2013 *)
|
|
PROG
|
(Magma) I:=[1, 19, 265]; [n le 3 select I[n] else 19*Self(n-1)-96*Self(n-2)+144*Self(n-3): n in [1..20]]; /* or */ m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-3*x)*(1-4*x)*(1-12*x)))); // Vincenzo Librandi, Jun 26 2013
(PARI) x='x+O('x^20); Vec(1/((1-3*x)*(1-4*x)*(1-12*x))) \\ Altug Alkan, Sep 23 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|