A089680 Let g[n_]=(Prime[n]-n)/(n-PrimePi[n]). Then a(n) = Floor[Exp[((g[n]+g[n+1])-g[n*(n+1)]+1)/1.5]].

3, 3, 1, 2, 4, 3, 3, 1, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3

Offset

1,1

Comments

Exponential version of log like weighted average function of primes and the prime distribution.

Links

Table of n, a(n) for n=1..105.

Mathematica

digits=200 g[n_]=(Prime[n]-n)/(n-PrimePi[n]) b=Table[Floor[Exp[((g[n]+g[n+1])-g[n*(n+1)]+1)/1.5]], {n, 1, digits}]

Crossrefs

Sequence in context: A255941 A010264 A262816 * A309507 A306690 A160326

Adjacent sequences: A089677 A089678 A089679 * A089681 A089682 A089683

Keyword

nonn

Author

Roger L. Bagula, Jan 04 2004

Status

approved