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A333066
Number of entries in the ninth blocks of all set partitions of [n] when blocks are ordered by decreasing lengths.
2
1, 46, 1211, 24047, 401337, 5957407, 81381744, 1046405027, 12866407790, 153103993523, 1780561219354, 20417258320972, 232758457316938, 2658399095977056, 30621521649045981, 357523836553565584, 4243836001737759231, 51265500225372571466, 629904897694885693327
OFFSET
9,2
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, 9)[2]:
seq(a(n), n=9..27);
CROSSREFS
Column k=9 of A319375.
Sequence in context: A258464 A320552 A211835 * A261940 A060561 A281321
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 06 2020
STATUS
approved