A320764
Number of ordered set partitions of [n] where the maximal block size equals eight.
Original entry on oeis.org
1, 18, 360, 7260, 152460, 3361644, 78041964, 1908389340, 49118959890, 1328964080730, 37738620245898, 1122927974067042, 34953464391146730, 1136306352798186570, 38520124906043253330, 1359621561034260858906, 49896547074800880656202, 1901350452285623246965200
Offset: 8
-
b:= proc(n, k) option remember; `if`(n=0, 1, add(
b(n-i, k)*binomial(n, i), i=1..min(n, k)))
end:
a:= n-> (k-> b(n, k) -b(n, k-1))(8):
seq(a(n), n=8..25);
A320765
Number of ordered set partitions of [n] where the maximal block size equals nine.
Original entry on oeis.org
1, 20, 440, 9680, 220220, 5229224, 130069940, 3392692160, 92780281880, 2657929522820, 79670485645608, 2495398380120360, 81558207395885220, 2777643033619233780, 98440545801322467600, 3625667341827832048176, 138601954935720474004950, 5492809832014657114548300
Offset: 9
-
b:= proc(n, k) option remember; `if`(n=0, 1, add(
b(n-i, k)*binomial(n, i), i=1..min(n, k)))
end:
a:= n-> (k-> b(n, k) -b(n, k-1))(9):
seq(a(n), n=9..25);
A320766
Number of ordered set partitions of [n] where the maximal block size equals ten.
Original entry on oeis.org
1, 22, 528, 12584, 308308, 7843836, 208111904, 5767576672, 167004507384, 5050066185736, 159340977018652, 5240336900883084, 179428070995076904, 6388579669849124748, 236257342145458744968, 9064169856705631376280, 360365153529146965326270
Offset: 10
-
b:= proc(n, k) option remember; `if`(n=0, 1, add(
b(n-i, k)*binomial(n, i), i=1..min(n, k)))
end:
a:= n-> (k-> b(n, k) -b(n, k-1))(10):
seq(a(n), n=10..30);