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Search: id:A107610
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| A107610 |
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Least number n such that n divided by Pi(n) rounded is greater than any previous n. |
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3
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| 2, 16, 56, 190, 556, 1821, 4928, 14136, 39017, 107405, 291330, 791513, 2148323, 5797898, 15726486, 42605113, 115371428, 312629484, 847000031, 2295700537, 6223257066, 16874397811, 45764114391, 124142354193, 336811260666
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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First occurrence of k in A107609.
Lim_n->inf. a(n+1)/a(n)=~e.
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FORMULA
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a(n) = round( n / Pi(n)).
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EXAMPLE
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a(2)=16 because round(16/6)=3 and for no other number less than 16 does the quotient equal 3.
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MATHEMATICA
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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}]
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CROSSREFS
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Cf. A107609, A107614.
Sequence in context: A006885 A027273 A033431 this_sequence A091914 A123791 A152665
Adjacent sequences: A107607 A107608 A107609 this_sequence A107611 A107612 A107613
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), May 17 2005
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