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A248710 f(6n+3)/(f(n-2)*f(n-1)*f(n)*f(n+1)*f(n+2)*f(n+3)), where f(k) = k!. 4

%I #10 Jul 20 2020 19:26:18

%S 37837800,2053230379200,86825246363856000,3434459445168687936000,

%T 133396980694935715950192000,5173935293233776678844146912000,

%U 201687837026151453996918852912960000,7920886423528046052820994110450678080000,313629810506083768747620025974652020366480000

%N f(6n+3)/(f(n-2)*f(n-1)*f(n)*f(n+1)*f(n+2)*f(n+3)), where f(k) = k!.

%C These are multinomial coefficients.

%H Clark Kimberling, <a href="/A248710/b248710.txt">Table of n, a(n) for n = 2..200</a>

%F a(n) ~ 3^(5/2) * 6^(6*n+1) / (Pi^(5/2)*n^(5/2)). - _Vaclav Kotesovec_, Oct 19 2014

%e a(3) = 21!/(1!*2!*3!*4!*5!*6!) = 2053230379200.

%t Table[(6 n + 3)!/((n - 2)! (n - 1)! n! (n + 1)! (n + 2)! (n + 3)!), {n, 2, 20}]

%t Table[(6n+3)!/Times@@((n+Range[-2,3])!) ,{n,2,20}] (* _Harvey P. Dale_, Jul 20 2020 *)

%Y Cf. A001700, A248707, A248708, A248709.

%K nonn,easy

%O 2,1

%A _Clark Kimberling_, Oct 12 2014

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Last modified June 19 19:59 EDT 2024. Contains 373507 sequences. (Running on oeis4.)