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A320548 Number of partitions of n into parts of exactly six sorts which are introduced in ascending order such that sorts of adjacent parts are different. 3
1, 16, 157, 1223, 8331, 52078, 307123, 1738442, 9552826, 51357799, 271624228, 1418856967, 7341442171, 37708533544, 192586163135, 979219603193, 4961598120154, 25071026570558, 126410385741982, 636282269651863, 3198360710675384, 16059685006324807 (list; graph; refs; listen; history; text; internal format)
OFFSET
6,2
LINKS
FORMULA
a(n) ~ 5^(n-1) / (5! * QPochhammer[1/5]). - Vaclav Kotesovec, Oct 25 2018
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0 or i=1, k^(n-1),
b(n, i-1, k) +`if`(i>n, 0, k*b(n-i, i, k)))
end:
A:= (n, k)-> `if`(n=0, 1, `if`(k<2, k, k*b(n$2, k-1))):
a:= n-> (k-> add(A(n, k-i)*(-1)^i/(i!*(k-i)!), i=0..k))(6):
seq(a(n), n=6..40);
CROSSREFS
Column k=6 of A262495.
Cf. A258461.
Sequence in context: A155649 A184598 A258460 * A211831 A036973 A101931
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 15 2018
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)