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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A305850 Weigh transform of the Bell numbers (A000110). 4
1, 1, 2, 7, 21, 78, 305, 1304, 6007, 29854, 159012, 904986, 5479078, 35150263, 238033523, 1695554145, 12663533586, 98881246850, 805128085616, 6820302066048, 59983405937707, 546690232627480, 5154757226832625, 50208266917662433, 504482106565647708 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..576

FORMULA

G.f.: Product_{k>=1} (1+x^k)^Bell(k).

MAPLE

g:= proc(n) option remember; `if`(n=0, 1,

      add(binomial(n-1, j-1)*g(n-j), j=1..n))

    end:

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

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

    end:

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

seq(a(n), n=0..30);

CROSSREFS

Cf. A000110, A290351, A305846, A305852.

Sequence in context: A127540 A319852 A060900 * A151289 A150300 A150301

Adjacent sequences:  A305847 A305848 A305849 * A305851 A305852 A305853

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 11 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 September 17 11:03 EDT 2019. Contains 327129 sequences. (Running on oeis4.)