|
|
A107614
|
|
Consider the least number n such that n divided by pi(n) rounded is greater than any previous n; a(n) is the denominator of n/pi(n).
|
|
2
|
|
|
1, 6, 16, 42, 101, 280, 657, 1663, 4107, 10229, 25333, 63321, 159135, 399855, 1014612, 2582128, 6592653, 16898891, 43435899, 111985392, 289453817, 749973236, 1947409123, 5067034865, 13208284732, 34487824962, 90192879037
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
2,2
|
|
COMMENTS
|
Lim_{n->infinity} a(n+1)/a(n) ~ e.
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
f[n_] := Round[ n / PrimePi[ n]]; g[2] = 2; g[n_] := g[n] = Block[{k = PrimePi[E g[n - 1]]}, While[ f[k] < n, k++ ]; k]; Do[ Print[ g[ n]], {n, 2, 26}]; PrimePi[ g[ # ]] & /@ Range[2, 28]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|