The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A007806 Integer part of Sum_{i=1..n} binomial(n,i) * (n/i)^i. 1
 1, 5, 16, 50, 147, 422, 1210, 3459, 9878, 28189, 80425, 229411, 654311, 1866003, 5321194, 15173321, 43264523, 123357771, 351712022, 1002758190, 2858875748, 8150529454, 23236408366, 66243882238, 188849982251, 538372895393, 1534776215805, 4375251800924 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 MAPLE a:= n-> floor(add(binomial(n, i)*(n/i)^i, i = 1..n)): seq(a(n), n=1..30); MATHEMATICA Floor/@Table[Sum[Binomial[n, i](n/i)^i, {i, n}], {n, 30}] (* Harvey P. Dale, May 08 2012 *) PROG (PARI) a(n) = sum(i=1, n, binomial(n, i)*(n/i)^i)\1; \\ Michel Marcus, Oct 30 2018 (Sage) [floor( sum(binomial(n, j)*(n/j)^j for j in (1..n)) ) for n in (1..30)] # G. C. Greubel, Mar 06 2020 CROSSREFS Sequence in context: A192904 A082001 A084356 * A037480 A027108 A304168 Adjacent sequences:  A007803 A007804 A007805 * A007807 A007808 A007809 KEYWORD nonn AUTHOR Joseph Lavinus Ganley [ ganley(AT)virginia.edu ] EXTENSIONS Name corrected June 1995 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 12 19:50 EDT 2021. Contains 342932 sequences. (Running on oeis4.)