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%I #20 Feb 19 2024 01:48:29
%S 1,50,1485,34220,677040,12103014,201359550,3176716400,48124511370,
%T 706252528630,10104934117421,141629804643600,1951641934005400,
%U 26515202245096950,355964264416391940,4730523156632595024
%N Binomial coefficient C(5*n,n-9).
%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.
%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%F a(n+1) = 5*(5*n + 1)*(5*n + 2)*(5*n + 3)*(5*n + 4)*(n + 1)*a(n)/(8*(4*n + 13)*(2*n + 5)*(n - 8)*(4*n + 11)*(n + 3)). - _Robert Israel_, Feb 18 2024
%p seq(binomial(5*n, n-9),n=9..30); # _Georg Fischer_, Jun 03 2021
%t Table[Binomial[5*n,n-9],{n,9,30}] (* _Harvey P. Dale_, Feb 09 2015 *)
%o (PARI) a(n) = binomial(5*n, n-9) \\ _Felix Fröhlich_, Jun 03 2021
%K nonn,easy
%O 9,2
%A _N. J. A. Sloane_
%E Offset corrected by _Georg Fischer_, Jun 03 2021
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