|
Search: id:A093526
|
|
|
| A093526 |
|
Numerators of even raw moments in the distribution of line lengths for lines picked at random in the unit disk. |
|
+0
5
|
|
| 1, 1, 5, 7, 42, 22, 429, 715, 4862, 8398, 58786, 52003, 742900, 1337220, 646323, 17678835, 129644790, 79606450, 1767263190, 328206021, 8155422340, 45741281820, 343059613650, 107492012277, 4861946401452, 9183676536076
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Disk Line Picking
|
|
FORMULA
|
a(k) = Numerator[(2*Gamma[3 + n])/((2 + n)*Gamma[2 + n/2]*Gamma[3 + n/2])] for n = 2k.
a(n)=denominator((n+1)/C(n+1)) - Paul Barry (pbarry(AT)wit.ie), Nov 17 2004
|
|
EXAMPLE
|
1, 128/(45*Pi), 1, 2048/(525*Pi), 5/3, 16384/(2205*Pi), ...
|
|
CROSSREFS
|
Cf. A093070, A093527, A093528, A093529.
Cf. A098512, A000108.
Sequence in context: A123781 A120298 A117751 this_sequence A098512 A064082 A090520
Adjacent sequences: A093523 A093524 A093525 this_sequence A093527 A093528 A093529
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com), Jan 04, 1970
|
|
|
Search completed in 0.002 seconds
|
