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URL: https://oeis.org/A001808

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A001808
Expansion of 1/((1+x)*(1-x)^12).
4
1, 11, 67, 297, 1068, 3300, 9076, 22748, 52834, 115126, 237590, 467842, 884236, 1611908, 2845492, 4880668, 8157227, 13316953, 21280337, 33346963, 51325352, 77699128, 115837592, 170260168, 246965732, 353839564, 501152588, 702169700, 973886344, 1337915096
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-54,154,-275,297,-132,-132,297,-275,154,-54,11,-1).
MATHEMATICA
CoefficientList[Series[1/((1+x)(1-x)^12), {x, 0, 50}], x] (* Vincenzo Librandi, Feb 24 2012 *)
LinearRecurrence[{11, -54, 154, -275, 297, -132, -132, 297, -275, 154, -54, 11, -1}, {1, 11, 67, 297, 1068, 3300, 9076, 22748, 52834, 115126, 237590, 467842, 884236}, 30] (* Harvey P. Dale, Jun 22 2014 *)
PROG
(PARI) Vec(1/((1+x)*(1-x)^12)+O(x^20)) \\ Edward Jiang, Sep 07 2014
(Magma)
R<x>:=PowerSeriesRing(Integers(), 50);
Coefficients(R!( 1/((1+x)*(1-x)^12) )); // G. C. Greubel, Apr 20 2025
(SageMath)
def A001808_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/((1+x)*(1-x)^12) ).list()
print(A001808_list(50)) # G. C. Greubel, Apr 20 2025
CROSSREFS
Twelfth column of A112465.
Sequence in context: A142645 A201605 A268458 * A258479 A035041 A125591
KEYWORD
nonn,easy
STATUS
approved