|
Search: id:A062143
|
|
|
| A062143 |
|
Fifth column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x). |
|
+0
2
|
|
| 1, 40, 1080, 25200, 554400, 11975040, 259459200, 5708102400, 128432304000, 2968213248000, 70643475302400, 1733976211968000, 43927397369856000, 1148870392750080000, 31019500604252160000, 864410083505160192000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The coefficients of the numerator polynomials N(m,x) of the e.g.f. for column m (here m=4) give triangle A062145.
|
|
LINKS
|
Index entries for sequences related to Laguerre polynomials
|
|
FORMULA
|
a(n)= (n+4)!*binomial(n+7, 7)/4!; e.g.f.:(1+28*x+126*x^2+140*x^3+35*x^4)/(1-x)^12.
If we define f(n,i,x)= sum(sum(binomial(k,j)*stirling1(n,k)*stirling2(j,i)*x^(k-j),j=i..k),k=i..n) then a(n-4)=(-1)^n*f(n,4,-8), (n>=4). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
|
|
CROSSREFS
|
A062142.
Sequence in context: A028228 A165380 A075907 this_sequence A124100 A071952 A144914
Adjacent sequences: A062140 A062141 A062142 this_sequence A062144 A062145 A062146
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jun 19 2001
|
|
|
Search completed in 0.002 seconds
|
