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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A306173 a(n) is the n-th term of the inverse Euler transform of j-> n^(j-1). 4
1, 1, 6, 42, 420, 5155, 77658, 1376340, 28133616, 651317463, 16846515510, 481472570920, 15067838554860, 512473599799551, 18821719654854998, 742395982266536520, 31299550394528466960, 1404629090174946183156, 66851805805525048040334, 3363381327122496643643628 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

FORMULA

a(n) ~ (1 - exp(-1)) * n^(n-1). - Vaclav Kotesovec, Oct 08 2019

MAPLE

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

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

    end:

g:= proc(n, k) option remember; k^(n-1)-b(n, n-1, k) end:

a:= n-> g(n$2):

seq(a(n), n=1..21);

CROSSREFS

Main diagonal of A065177.

Cf. A075147, A316073.

Sequence in context: A052608 A245248 A197712 * A254529 A098461 A284161

Adjacent sequences:  A306170 A306171 A306172 * A306174 A306175 A306176

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 23 2018

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 December 6 08:53 EST 2019. Contains 329788 sequences. (Running on oeis4.)