|
Search: id:A119390
|
|
|
| A119390 |
|
a(n) = n!*Sum_{k=0..n} (-1)^(n-k)*Stirling1(n,k)/k!. |
|
+0
1
|
|
| 1, 1, 3, 22, 301, 6631, 214681, 9600088, 566959457, 42745927717, 4006577981071, 457002288429666, 62332395019232053, 10018273615964100787, 1873929413170092413773, 403602063302844878730196, 99165966659478338987124481, 27570715036265111940880945673, 8611670013649050886554308425147, 3002629280961610435928764405429774, 1161987842547239267511188646916322781
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
Sum_{n>=0} a(n)*x^n/n!^2 = BesselJ(0,2*sqrt(ln(1-x))).
|
|
MATHEMATICA
|
Table[n!*Sum[(-1)^(n - k)*StirlingS1[n, k]/k!, {k, 0, n}], {n, 0, 20}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 23 2007
|
|
CROSSREFS
|
Cf. A001569.
Sequence in context: A135862 A122778 A108991 this_sequence A124567 A102223 A046947
Adjacent sequences: A119387 A119388 A119389 this_sequence A119391 A119392 A119393
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 25 2006
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 23 2007
|
|
|
Search completed in 0.002 seconds
|
