|
%I #26 Dec 19 2022 02:17:18
%S 1,1,1,1,1,1,1,1,1,2,11,56,221,716,2003,5006,11441,24311,48621,92379,
%T 167961,293931,497421,817191,1307505,2042976,3124551,4686826,6906901,
%U 10015006,14307151,20160076,28048801,38567101,52451257,70607461,94143281,124403621
%N a(n) = binomial(n, 9) + 1.
%H G. C. Greubel, <a href="/A115205/b115205.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: ((3*x^2-3*x+1)*(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1))/(x-1)^10. [Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
%F a(n) = (1/9!)*(n+1)*(n^8 - 37*n^7 + 583*n^6 - 5119*n^5 + 27568*n^4 - 94852*n^3 + 212976*n^2 - 322560*n + 9!) = binomial(n,9)+1. - _G. C. Greubel_, Feb 05 2016
%p seq(binomial(n,9)+1, n=0..26); # _Zerinvary Lajos_, Jan 13 2007
%t Table[1 + Binomial[n,9], {n, 0, 20}] (* _G. C. Greubel_, Feb 05 2016 *)
%o (PARI) a(n) = binomial(n, 9) + 1; \\ _Altug Alkan_, Feb 05 2016
%o (Magma) [Binomial(n, 9)+1: n in [0..50]]; // _Vincenzo Librandi_, Feb 05 2016
%Y Cf. A035927.
%K nonn,easy
%O 0,10
%A _Roger L. Bagula_, Mar 03 2006
|
