A061567 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A061567

a(n) = floor(n^log(n)).

1, 1, 3, 6, 13, 24, 44, 75, 124, 200, 314, 480, 719, 1058, 1530, 2180, 3062, 4248, 5823, 7898, 10605, 14108, 18607, 24343, 31607, 40749, 52184, 66408, 84009, 105677, 132226, 164608, 203936, 251505, 308815, 377606, 459883, 557954, 674470, 812467

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

a(11) = 314 and 11^log(11) = 314.159789210968519210249138553976, which is close to 100*Pi, giving an approximate value Pi = 11^log(11)/100. - Amarnath Murthy, Jan 03 2002

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..500

MATHEMATICA

Array[Floor[#^Log[#]] &, 40] (* Michael De Vlieger, Dec 11 2017 *)

PROG

(PARI) { default(realprecision, 100); for (n=1, 500, write("b061567.txt", n, " ", floor(n^log(n))) ) } \\ Harry J. Smith, Jul 24 2009

CROSSREFS

Sequence in context: A022568 A120006 A263847 * A293076 A293421 A018081

Adjacent sequences: A061564 A061565 A061566 * A061568 A061569 A061570

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, May 18 2001

STATUS

approved