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A094227 A prime-power sequence based on Gaussian asymptotic function. 0
0, 1, 3, 5, 8, 10, 13, 15, 18, 21, 24, 27, 30, 33, 36, 40, 43, 46, 50, 53, 57, 61, 64, 68, 72, 75, 79, 83, 87, 91, 95, 99, 102, 106, 111, 115, 119, 123, 127, 131, 135, 139, 144, 148, 152, 157, 161, 165, 170, 174, 178, 183, 187, 192, 196, 201, 205, 210, 214, 219, 223 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,3

LINKS

Table of n, a(n) for n=3..63.

FORMULA

g[n]=(n*Pi*Log[n]-Sqrt[n^2*Pi+2*Pi^2*n])/Pi, s=(Log[g[n]]-Log[n])/Log[n-1] a(n) Floor[N[n*(n-1)^s]]

MATHEMATICA

g[n_]=(n*Pi*Log[n]-Sqrt[n^2*Pi+2*Pi^2*n])/Pi f[n_]=(Log[g[n]]-Log[n])/Log[n-1] a=Table[Floor[N[n*(n-1)^fa[n]]], {n, 3, 200}]

CROSSREFS

Sequence in context: A332102 A047218 A029919 * A085225 A080370 A175540

Adjacent sequences:  A094224 A094225 A094226 * A094228 A094229 A094230

KEYWORD

nonn

AUTHOR

Roger L. Bagula, May 28 2004

STATUS

approved

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Last modified May 17 06:41 EDT 2022. Contains 353730 sequences. (Running on oeis4.)