login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A327681 Number of colored integer partitions of 2n using all colors of an n-set such that parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order. 2
1, 1, 21, 619, 32621, 2619031, 298688151, 45747815408, 9130881915237, 2302153903685914, 716914926484850891, 270654298469985496639, 121905995767297357401683, 64616493201145984241278851, 39838866068219563302546530228, 28277347692301453998991014108124 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200 (terms 0..100 from Alois P. Heinz)

FORMULA

a(n) = A309973(2n,n).

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, 1,

      `if`(i<1, 0, add(b(n-i*j, min(n-i*j, i-1), k)*

       binomial(binomial(k+i-1, i), j)*j!, j=0..n/i)))

    end:

a:= n-> add(b(2*n$2, i)*(-1)^(n-i)*binomial(n, i), i=0..n):

seq(a(n), n=0..17);

CROSSREFS

Cf. A309973.

Sequence in context: A296672 A134499 A231852 * A141265 A025752 A163032

Adjacent sequences:  A327678 A327679 A327680 * A327682 A327683 A327684

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 21 2019

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 November 26 17:17 EST 2020. Contains 338641 sequences. (Running on oeis4.)