A084586 -id:A084586 - cp's OEIS frontend

A084587 Integer floor of the reciprocal of Gauss-Kuzmin distribution of n: a(n) = floor( log(2)/log(1 + 1/(n*(n+2))) ).

2, 5, 10, 16, 24, 33, 44, 55, 68, 83, 99, 116, 135, 155, 177, 199, 224, 249, 276, 305, 335, 366, 398, 432, 468, 504, 543, 582, 623, 665, 709, 754, 800, 848, 897, 948, 1000, 1053, 1108, 1164, 1222, 1281, 1341, 1403, 1466, 1530, 1596, 1663, 1732, 1802, 1873, 1946

Offset: 1

Paul D. Hanna, May 31 2003

nonn

Cf. A084576-A084586.

for(n=1,100,a=floor(log(2)/log(1+1/(n*(n+2)))); print1(a,","))

a(n) = (n^2 + 2n)*log(2) + O(1). - Charles R Greathouse IV, Sep 04 2015

A084585 Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2)))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of n when k=5.

Original entry on oeis.org

18, 38, 60, 81, 105, 128, 152, 172, 196, 219, 242, 266, 289, 313, 337, 358, 385, 408, 431, 453, 479, 500, 525, 549, 574, 597, 617, 644, 671, 691, 716, 738, 762, 789, 811, 834, 858, 884, 908, 929, 956, 977, 1002, 1023, 1052, 1075, 1096

Offset: 1

Paul D. Hanna, May 31 2003

nonn

Cf. A084576-A084584, A084586-A084587.

cp's OEIS Frontend

A084587 Integer floor of the reciprocal of Gauss-Kuzmin distribution of n: a(n) = floor( log(2)/log(1 + 1/(n*(n+2))) ).

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A084585 Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2)))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of n when k=5.

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Author

Keywords

Crossrefs