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A004351
Binomial coefficient C(5*n,n-9).
0
1, 50, 1485, 34220, 677040, 12103014, 201359550, 3176716400, 48124511370, 706252528630, 10104934117421, 141629804643600, 1951641934005400, 26515202245096950, 355964264416391940, 4730523156632595024, 62320553853204898625, 814868540106802038000, 10585318698186289827000
OFFSET
9,2
REFERENCES
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.
LINKS
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
FORMULA
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
a(n) ~ 5^(5*n+1/2) / (2^(8*n+39/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 08 2025
MAPLE
seq(binomial(5*n, n-9), n=9..30); # Georg Fischer, Jun 03 2021
MATHEMATICA
Table[Binomial[5*n, n-9], {n, 9, 30}] (* Harvey P. Dale, Feb 09 2015 *)
PROG
(PARI) a(n) = binomial(5*n, n-9); \\ Felix Fröhlich, Jun 03 2021
CROSSREFS
Sequence in context: A231743 A140520 A114251 * A229316 A159177 A159176
KEYWORD
nonn,easy
EXTENSIONS
Offset corrected by Georg Fischer, Jun 03 2021
STATUS
approved