login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A076002 Seventh column of triangle A075502. 3
1, 196, 22638, 2016840, 153632787, 10544644572, 672413918176, 40624783239040, 2356312445219733, 132435800821952628, 7261903300743441714, 390447849166013566200, 20663998640254649395639 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The e.g.f. given below is Sum_{m=0..6} A075513(7,m)*exp(7*(m+1)*x)/6!.

LINKS

Table of n, a(n) for n=0..12.

FORMULA

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

a(n) = Sum_{m=0..6} A075513(7, m)*((m+1)*7)^n/6!.

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

E.g.f.: (d^7/dx^7)(((exp(7*x)-1)/7)^7)/7! = (exp(7*x) - 384*exp(14*x) + 10935*exp(21*x) - 81920*exp(28*x) + 234375*exp(35*x) - 279936*exp(42*x) + 117649*exp(49*x))/6!.

CROSSREFS

Cf. A075525.

Sequence in context: A006362 A035834 A114761 * A145020 A260863 A013755

Adjacent sequences:  A075999 A076000 A076001 * A076003 A076004 A076005

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 02 2002

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 March 31 03:48 EDT 2020. Contains 333136 sequences. (Running on oeis4.)