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A119390
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a(n) = n!*Sum_{k=0..n} (-1)^(n-k)*Stirling1(n,k)/k!.
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0
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1, 1, 3, 22, 301, 6631, 214681, 9600088, 566959457, 42745927717, 4006577981071, 457002288429666, 62332395019232053, 10018273615964100787, 1873929413170092413773, 403602063302844878730196, 99165966659478338987124481, 27570715036265111940880945673, 8611670013649050886554308425147, 3002629280961610435928764405429774, 1161987842547239267511188646916322781
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| Sum_{n>=0} a(n)*x^n/n!^2 = BesselJ(0,2*sqrt(ln(1-x))).
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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
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CROSSREFS
| Cf. A001569.
Sequence in context: A135862 A122778 A108991 * A144681 A124567 A161967
Adjacent sequences: A119387 A119388 A119389 * A119391 A119392 A119393
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 25 2006
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 23 2007
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