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!)
A333065 Number of entries in the eighth blocks of all set partitions of [n] when blocks are ordered by decreasing lengths. 2
1, 37, 796, 13091, 183074, 2300949, 26869727, 298009584, 3190196105, 33408754043, 346447486658, 3596858467639, 37729664292626, 402420037089997, 4378064125023471, 48598561597491856, 549602546782048959, 6318831653757436761, 73723789208978689966 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,2
LINKS
MAPLE
b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))(
combinat[multinomial](n, i$j, n-i*j)/j!*
b(n-i*j, min(n-i*j, i-1), max(0, t-j))), j=0..n/i)))
end:
a:= n-> b(n$2, 8)[2]:
seq(a(n), n=8..26);
CROSSREFS
Column k=8 of A319375.
Sequence in context: A320551 A211834 A216439 * A251105 A144511 A028225
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 06 2020
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 14 18:48 EDT 2024. Contains 374322 sequences. (Running on oeis4.)