login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A032317 Shifts left under "EGJ" (unordered, element, labeled) transform. 1
1, 1, 1, 4, 8, 38, 206, 1200, 7244, 55112, 481108, 4287064, 42556692, 458857096, 5380649292, 66715285656, 886324380896, 12515424567584, 187185185162008, 2950679797693984, 48999725880417856, 854663308052386560, 15612043048565029376, 298116231774768917120 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..200

FORMULA

a(n) ~ d^n * (n-1)!, where d = 0.83032081103345967620460720103738024... . - Vaclav Kotesovec, Aug 25 2014

MAPLE

with(combinat):

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

      add(multinomial(n, i$j, n-i*j)*binomial(b((i-1)$2), j)

       *b(n-i*j, i-1), j=0..n/i)))

    end:

a:= n-> b((n-1)$2):

seq(a(n), n=1..30);  # Alois P. Heinz, Jul 30 2013

MATHEMATICA

multinomial[n_, k_] := n!/Times @@ (k!); b[n_, i_] := b[n, i] = If[n==0, 1, If[i<1, 0, Sum[multinomial[n, Append[Array[i&, j], n-i*j]]*Binomial[ b[i-1, i-1], j]*b[n-i*j, i-1], {j, 0, n/i}]]]; a[n_] := b[n-1, n-1]; Table[a[n], {n, 1, 30}] (* Jean-Fran├žois Alcover, Feb 27 2017, after Alois P. Heinz *)

CROSSREFS

Sequence in context: A032301 A032213 A225824 * A032226 A001889 A032138

Adjacent sequences:  A032314 A032315 A032316 * A032318 A032319 A032320

KEYWORD

nonn,eigen

AUTHOR

Christian G. Bower

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 23 11:12 EST 2018. Contains 299564 sequences. (Running on oeis4.)