login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A143570 E.g.f. satisfies: A(x) = exp(x*A(x^6/6!)). 2
1, 1, 1, 1, 1, 1, 1, 8, 57, 253, 841, 2311, 5545, 18019, 192193, 1936936, 13533521, 71607537, 308979217, 1195354525, 8070684721, 113661781381, 1368278263969, 12100291273456, 83294670263113, 474179436692501, 2787857745272601, 32561274444909211 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

MAPLE

A:= proc(n) option remember; if n<=0 then 1 else unapply (convert (series (exp (x*A(n-6)(x^6/720)), x, n+1), polynom), x) fi end: a:= n-> coeff (A(n)(x), x, n)*n!: seq(a(n), n=0..33);

MATHEMATICA

A[n_] := A[n] = If[n <= 0, 1&, Function[Normal[Series[Exp[y*A[n-2][y^6/6!]], {y, 0, n+1}] /. y -> #]]]; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 33}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

6th column of A143565.

Sequence in context: A316922 A317040 A317694 * A296721 A283693 A297453

Adjacent sequences:  A143567 A143568 A143569 * A143571 A143572 A143573

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 10:09 EDT 2022. Contains 353807 sequences. (Running on oeis4.)