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A089221 The complex magnitude of a set of points for the geometric and arithmetic averages of the primes and thier distribution. +0
1
1, 2, 4, 5, 9, 10, 13, 14, 16, 19, 21, 25, 28, 29, 31, 34, 38, 39, 44, 46, 47, 50, 53, 56, 60, 62, 63, 65, 68, 70, 78, 80, 83, 84, 89, 90, 94, 98, 100, 103, 107, 108, 114, 115, 117, 118, 126, 132, 134, 135, 137, 140, 142, 147, 150, 153, 156, 157, 162, 164, 166, 171, 178 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = Floor[Sqrt[((Prime[n]+PrimePi[n])/2)^2+Prime[n]*PrimePi[n]]]

MATHEMATICA

digits=200 f[n_]=Floor[Sqrt[((Prime[n]+PrimePi[n])/2)^2+Prime[n]*PrimePi[n]]] a=Table[f[n], {n, 1, digits}]

CROSSREFS

Adjacent sequences: A089218 A089219 A089220 this_sequence A089222 A089223 A089224

Sequence in context: A047613 A036795 A024618 this_sequence A113755 A091271 A063985

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 03 2004

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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