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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A180283 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 3. 1
3, 12, 50, 195, 735, 2716, 9912, 35850, 128865, 461175, 1645215, 5855941, 20810153, 73870748, 262029364, 929031504, 3293120337, 11672207262, 41373395052, 146674116501, 520093043437, 1844704839175, 6544970763175, 23229252652125 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

Robert Israel, Table of n, a(n) for n = 3..1795 (n=3..59 from R. H. Hardin)

MAPLE

f:= proc(m, n) option remember;

  if m > 3*n or m < 3 then return 0 fi;

  g(m-3, n-1) + add(procname(m-i, n-1), i=0..2)

end proc:

g:= proc(m, n) option remember;

  if m > 3*n then return 0 fi;

  add(procname(m-i, n-1), i=0..min(m, 3))

end proc:

g(0, 0):= 1:

seq(f(n, n), n=3..30); # Robert Israel, May 03 2018

CROSSREFS

Column 3 of A180281.

Sequence in context: A224659 A034541 A180879 * A037765 A037653 A229665

Adjacent sequences:  A180280 A180281 A180282 * A180284 A180285 A180286

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 24 2010

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 25 23:56 EST 2022. Contains 350572 sequences. (Running on oeis4.)