A120281 Logarithmic numbers A002104[p+1] divided by p=Prime[n].

4, 8, 83, 2296, 10861936, 1411410779, 60443686054995, 18373508669927544, 3194533046674386845000, 858410779506468749371519333771, 745094155915562576848262528092832

Offset

1,1

Links

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

Formula

a(n) = Sum[Sum[m!/k!,{k,0,m}],{m,0,Prime[n]}]/Prime[n]. a(n) = A002104[p+1]/p, where p=Prime[n].

Mathematica

Table[Sum[Sum[m!/k!, {k, 0, m}], {m, 0, Prime[n]}]/Prime[n], {n, 1, 15}]

Crossrefs

Cf. A002104, A000522.

Sequence in context: A068208 A090254 A222287 * A331986 A057974 A071277

Adjacent sequences: A120278 A120279 A120280 * A120282 A120283 A120284

Keyword

nonn

Author

Alexander Adamchuk, Jul 05 2006

Status

approved