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!)
A075923 Fourth column of triangle A075502. 2

%I #8 Dec 27 2017 01:34:23

%S 1,70,3185,120050,4084101,130590390,4012419145,120031392250,

%T 3525181576301,102196720335710,2935410756419505,83751552660170850,

%U 2377917929557166101,67273652916778177030,1898215473677945050265

%N Fourth column of triangle A075502.

%C The e.g.f. given below is Sum_{m=0..3} A075513(4,m)*exp(7*(m+1)*x)/3!.

%F a(n) = A075502(n+4, 4) = (7^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).

%F a(n) = (-7^n + 24*14^n - 81*21^n + 64*28^n)/3!.

%F G.f.: 1/Product_{k=1..4} (1 - 7*k*x).

%F E.g.f.: (d^4/dx^4)(((exp(7*x)-1)/7)^4)/4! = (-exp(7*x) + 24*exp(14*x) - 81*exp(21*x) + 64*exp(28*x))/3!.

%Y Cf. A075922, A075924.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 02 2002

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 March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)