The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #8 Sep 04 2021 17:26:43
%S 1,9,36,85,135,163,178,208,265,341,419,485,549,642,778,940,1110,1290,
%T 1498,1761,2095,2487,2921,3413,4000,4712,5565,6563,7711,9044,10627,
%U 12516,14745,17352,20397,23969,28187,33176,39048,45931,54007,63509
%N G.f. (x + 1)^10/(x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1).
%C Limiting ratio is a(n+1)/a(n)->1.1762808182599176..
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (-1, 0, 1, 1, 1, 1, 1, 0, -1, -1).
%t p[x_] = (x + 1)^10/(x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1);
%t a = Table[SeriesCoefficient[ Series[p[x], {x, 0, 50}], n], {n, 0, 50}]
%t LinearRecurrence[{-1,0,1,1,1,1,1,0,-1,-1},{1,9,36,85,135,163,178,208,265,341,419},50] (* _Harvey P. Dale_, Sep 04 2021 *)
%Y Cf. A029826
%K nonn
%O 0,2
%A _Roger L. Bagula_, Feb 13 2010
%E Removed unused variables - The Assoc. Editors of the OEIS, Feb 24 2010