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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A294353 Product of first n terms of the binomial transform of n^n (A086331). 2

%I

%S 1,2,14,602,236586,1116922506,78020387811618,95634036502805444826,

%T 2378081951650318040462277306,1361239109900199746154166909875717978,

%U 20062823024247092576000017563809908231829439138,8420023655209092490508999978430595224656730339006712229850

%N Product of first n terms of the binomial transform of n^n (A086331).

%F a(n) ~ c * n^(n*(n+1)/2 + 1/12 + exp(-1)/2) / exp(n^2/4 - n*exp(-1)), where c = 1.981849007720509372587479129359338230641860983165241915197508762536...

%t Table[Product[1 + Sum[Binomial[m, k]*k^k, {k, 1, m}], {m, 0, n}], {n, 0, 12}]

%Y Cf. A002109, A047656, A086331, A086619, A294352.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Oct 29 2017

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 April 20 09:59 EDT 2019. Contains 322309 sequences. (Running on oeis4.)