|
|
A053566
|
|
Expansion of (11*x-2)/(1-3*x)^2.
|
|
1
|
|
|
-2, -1, 12, 81, 378, 1539, 5832, 21141, 74358, 255879, 866052, 2893401, 9565938, 31355019, 102036672, 330024861, 1061819118, 3400690959, 10847773692, 34480423521, 109252577898, 345191655699
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
REFERENCES
|
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 3^(n-1)*(5*n-6).
a(n) = 6*a(n-1) - 9*a(n-2), with a(0) = -2, a(1) = -1.
|
|
MATHEMATICA
|
LinearRecurrence[{6, -9}, {-2, -1}, 30] (* Harvey P. Dale, Jun 26 2012 *)
|
|
PROG
|
(PARI) Vec((11*x-2)/(1-3*x)^2 + O(x^30)) \\ Michel Marcus, Dec 03 2014
(Magma) [3^(n-1)*(5*n-6) : n in [0..30]]; // G. C. Greubel, May 16 2019
(Sage) [3^(n-1)*(5*n-6) for n in (0..30)] # G. C. Greubel, May 16 2019
(GAP) List([0..30], n-> 3^(n-1)*(5*n-6)) # G. C. Greubel, May 16 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|