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A004330
Binomial coefficient C(3n,n-12).
1
1, 39, 861, 14190, 194580, 2349060, 25827165, 264385836, 2558620845, 23667689815, 210980549208, 1823810410032, 15363284301456, 126600387152400, 1023729916348425, 8144022047817960, 63871405575418665, 494705855605882455, 3789648142708598775, 28747684924884976050
OFFSET
12,2
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
D-finite with recurrence -2*(2*n+11)*(n-12)*(n+6)*a(n) +3*n*(3*n-1)*(3*n-2)*a(n-1)=0. - R. J. Mathar, Jan 13 2025
a(n) ~ 3^(3*n)/(2^(2*n+13)*sqrt(n*Pi/3)). - Stefano Spezia, Jan 13 2025
MATHEMATICA
Table[Binomial[3*n, n - 12], {n, 12, 35}] (* Paolo Xausa, Jan 13 2025 *)
CROSSREFS
Sequence in context: A268983 A293918 A264458 * A069418 A194477 A016091
KEYWORD
nonn,easy
STATUS
approved