|
| |
|
|
A001618
|
|
Nearest integer to 2*n*ln(n).
(Formerly M2623 N1038)
|
|
1
|
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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], [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: A166092 A184913 A022821 * A118027 A082644 A131024
Adjacent sequences: A001615 A001616 A001617 * A001619 A001620 A001621
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
STATUS
|
approved
|
| |
|
|