A203529 - OEIS

A203529

v(n)/A000178(n); v=A203527 and A000178=(superfactorials).

1, 5, 175, 44100, 60913125, 427756329000, 20552836095792000, 6952965728817588480000, 11895516181976215338950400000, 99606443887767729350960121600000000, 5830034964946921746536425070101217280000000

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OFFSET

1,2

COMMENTS

It is conjectured that every term of A203529 is an integer.

LINKS

Table of n, a(n) for n=1..11.

MATHEMATICA

t = Table[If[PrimeQ[k], 0, k], {k, 1, 100}];

nonprime = Rest[Union[t]] (* A018252 *)

f[j_] := nonprime[[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}] (* A203527 *)

Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A203528 *)

Table[v[n]/d[n], {n, 1, 20}] (* A203529 *)

CROSSREFS

Cf. A203527, A203528, A018252, A093883, A203417.

Sequence in context: A060070 A300590 A027873 * A052272 A111515 A157204

Adjacent sequences: A203526 A203527 A203528 * A203530 A203531 A203532

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 03 2012

STATUS

approved