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

1,1

Links

Table of n, a(n) for n=1..52.

Formula

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

Prog

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

Crossrefs

Cf. A084576-A084586.

Sequence in context: A031871 A026056 A267159 * A001859 A011903 A078435

Adjacent sequences: A084584 A084585 A084586 * A084588 A084589 A084590

Keyword

nonn

Author

Paul D. Hanna, May 31 2003

Status

approved