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A092144 a(n) = A092143(n)/n!. 3

%I #9 Feb 05 2024 10:19:37

%S 1,1,1,2,2,12,12,96,288,2880,2880,414720,414720,5806080,87091200,

%T 5573836800,5573836800,1805923123200,1805923123200,722369249280000,

%U 15169754234880000,333734593167360000,333734593167360000,4613547015945584640000,23067735079727923200000

%N a(n) = A092143(n)/n!.

%H G. C. Greubel, <a href="/A092144/b092144.txt">Table of n, a(n) for n = 1..200</a>

%t Table[Product[k^Floor[n/k], {k,n}]/n!, {n,40}] (* _G. C. Greubel_, Feb 05 2024 *)

%o (PARI) my(z=1); for(i=1,20, fordiv(i,j,z*=j); print1(z/i!, ", "))

%o (Magma) [(&*[j^Floor(n/j): j in [1..n]])/Factorial(n): n in [1..40]]; // _G. C. Greubel_, Feb 05 2024

%o (SageMath) [product(j^(n//j) for j in range(1,n+1))//factorial(n) for n in range(1,41)] # _G. C. Greubel_, Feb 05 2024

%Y Cf. A092143.

%K nonn

%O 1,4

%A _Jon Perry_, Mar 31 2004

%E Terms a(21) onward added by _G. C. Greubel_, Feb 05 2024

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Last modified March 29 05:16 EDT 2024. Contains 371264 sequences. (Running on oeis4.)