A001618 Nearest integer to 2*n*log(n). (Formerly M2623 N1038)

0, 0, 3, 7, 11, 16, 22, 27, 33, 40, 46, 53, 60, 67, 74, 81, 89, 96, 104, 112, 120, 128, 136, 144, 153, 161, 169, 178, 187, 195, 204, 213, 222, 231, 240, 249, 258, 267, 276, 286, 295, 305, 314, 323, 333, 343, 352, 362, 372, 381, 391, 401, 411, 421, 431, 441

Offset

0,3

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100000

S. Kullback, M. Kupperman, and H. H. Ku, An application of information theory to the analysis of contingency tables, with a table of 2n ln n, n=1(1)10,000, J. Res. Nat. Bur. Standards Sect. B 66B (1962), pp. 217-243.

Mathematica

Join[{0}, Table[Floor[2*n*Log[n] + 1/2], {n, 60}]] (* T. D. Noe, Aug 09 2012 *)

Prog

(Magma) [0] cat [Round(2*n*Log(n)): n in [1..60]]; // Vincenzo Librandi, Oct 21 2011
(PARI) a(n)=round(2*n*log(n)) \\ Charles R Greathouse IV, Apr 17 2012

Crossrefs

Sequence in context: A184913 A307761 A022821 * A118027 A082644 A131024

Adjacent sequences: A001615 A001616 A001617 * A001619 A001620 A001621

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved