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O.g.f. (x + 1)^10/ (sum_{i=0..10} x^i) .
1

%I #12 Dec 12 2023 07:42:39

%S 1,9,35,75,90,42,-42,-90,-75,-35,-9,0,9,35,75,90,42,-42,-90,-75,-35,

%T -9,0,9,35,75,90,42,-42,-90,-75,-35,-9,0,9,35,75,90,42,-42,-90,-75,

%U -35,-9,0,9,35,75,90,42,-42

%N O.g.f. (x + 1)^10/ (sum_{i=0..10} x^i) .

%C Periodic with period length 11.

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (-1, -1, -1, -1, -1, -1, -1, -1, -1, -1).

%F G.f. (1-x^2)*(1+x)^9/(1-x^11), not completely reduced.

%t p[x_] = (x + 1)^10/Sum[x^i, {i, 0, 10}];

%t a = Table[SeriesCoefficient[ Series[p[x], {x, 0, 50}], n], {n, 0, 50}]

%K sign,easy,less

%O 0,2

%A _Roger L. Bagula_, Feb 13 2010

%E Dummy variables removed by the Assoc. Editors of the OEIS, Mar 10 2010.