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A203533
v(n)/A000178(n); v=A203527 and A000178=(superfactorials).
3
1, 10, 840, 464100, 1481407200, 32851686067200, 5186361382800998400, 4436556151786001058816000, 19667253420867342693731328000000, 605862171333980479840975997239296000000, 132207384898194165523202154782408753283072000000
OFFSET
1,2
COMMENTS
It is conjectured that every term of A203533 is an integer.
MATHEMATICA
t = Table[If[PrimeQ[k], 0, k], {k, 1, 100}];
composite = Rest[Rest[Union[t]]] (* A002808 *)
f[j_] := composite[[j]]; z = 20;
v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
d[n_] := Product[(i - 1)!, {i, 1, n}] (* A000178 *)
Table[v[n], {n, 1, z}] (* A203530 *)
Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A203532 *)
Table[v[n]/d[n], {n, 1, 20}] (* A203533 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 03 2012
STATUS
approved