|
|
A156125
|
|
a(n)=10^n*C(2n,n)/C(n+3,3).
|
|
1
|
|
|
1, 5, 60, 1000, 20000, 450000, 11000000, 286000000, 7800000000, 221000000000, 6460000000000, 193800000000000, 5943200000000000, 185725000000000000, 5899500000000000000, 190095000000000000000, 6203100000000000000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Hankel transform is 10^(n^2-1+0^n)*A156126(n).
|
|
LINKS
|
|
|
FORMULA
|
G.f.: F(1/2,1;4;40x);
(n+3)*a(n) +20*(1-2*n)*a(n-1)=0. - R. J. Mathar, Oct 25 2012
|
|
MATHEMATICA
|
Table[10^n Binomial[2n, n]/Binomial[n+3, 3], {n, 0, 20}] (* Harvey P. Dale, Mar 30 2022 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|