|
|
A019672
|
|
Expansion of 1/((1-4x)(1-8x)(1-11x)).
|
|
1
|
|
|
1, 23, 365, 4975, 62661, 753783, 8811805, 101107775, 1145674421, 12870591943, 143722946445, 1598128085775, 17716831119781, 195984586836503, 2164626279788285, 23881256748106975, 263256769887630741
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n)= 11^(n+2)/21 -2*8^(n+1)/3 +4^(n+1)/7. - R. J. Mathar, Nov 11 2012
a(0)=1, a(1)=23, a(2)=365; for n>2, a(n) = 23*a(n-1) -164*a(n-2) +352*a(n-3). - Vincenzo Librandi, Jul 03 2013
|
|
MATHEMATICA
|
CoefficientList[Series[1 / ((1 - 4 x) (1 - 8 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 03 2013 *)
|
|
PROG
|
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-4*x)*(1-8*x)*(1-11*x)))); /* or */ I:=[1, 23, 365]; [n le 3 select I[n] else 23*Self(n-1)-164*Self(n-2)+352*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|