|
Search: id:A116421
|
|
|
| A116421 |
|
2^(n-1)*binomial(2n-1,n-1)^2. |
|
+0
1
|
|
| 0, 1, 18, 400, 9800, 254016, 6830208, 188457984, 5300380800, 151289881600, 4369251780608, 127394382495744, 3743979352236032, 110768619888640000, 3295931587706880000, 98555678764852838400, 2959750227906986803200
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
G.f.: 1+(K(32x)-1)/4 where K(k)=Elliptic_F(pi/2,k) is the complete Elliptic integral of the first kind; E.g.f.: BesselI(0, 2*sqrt(2)x)*BesselI(1, 2*sqrt(2)x)/sqrt(2); a(n)=2^(n+1)*(binomial(2n,n)/4)^2-0^n/8.
|
|
CROSSREFS
|
Cf. A060150.
Adjacent sequences: A116418 A116419 A116420 this_sequence A116422 A116423 A116424
Sequence in context: A099276 A070943 A111454 this_sequence A005477 A086501 A053115
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 14 2006
|
|
|
Search completed in 0.002 seconds
|
