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A203532
v(n+1)/v(n), where v=A203530.
3
10, 168, 3315, 76608, 2661120, 113667840, 4311354600, 178738560000, 11178747740160, 791853627801600, 44783640216315000, 2693449157020876800, 246209683227475968000, 17126298576096297588000, 1253392853589570355200000
OFFSET
1,1
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