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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]]. +0
1
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 (list; graph; listen)
OFFSET

1,1

COMMENT

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

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: A096836 A096995 A010264 this_sequence A160326 A123561 A133695

Adjacent sequences: A089677 A089678 A089679 this_sequence A089681 A089682 A089683

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 04 2004

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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