OFFSET
0,5
LINKS
A. Umar, Combinatorial Results for Semigroups of Orientation-Preserving Partial Transformations, J. Int. Seq. 14 (2011) # 11.7.5
EXAMPLE
1 ;
1 1 ;
1 3 5 ;
1 7 19 34 ;
1 15 63 135 235;
1 31 191 471 911 1556 ;
1 63 543 1503 3183 5883 9969 ;
1 127 1471 4495 10319 20483 37031 62602 ;
1 255 3839 12799 31615 67007 128607 229743 388343 ;
1 511 9727 35071 92671 208735 423583 796687 1412863 2389768 ;
1 1023 24063 93183 262143 625023 1336383 2638143 4894623 8637363 14621533 ;
MAPLE
A289714 := proc(n, k)
if k = 0 then
1;
else
n*add(binomial(n-1, r-1)*binomial(r+k-2, r-1), r=1..n)-(n-2)*2^(n-1)-1 ;
end if ;
end proc:
CROSSREFS
KEYWORD
AUTHOR
R. J. Mathar, Sep 02 2017
STATUS
approved