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Search: id:A093344
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A093344 n! * Sum_{i=1..n} (1/i)*Sum_{j=0..i-1} 1/j!. +0
5
0, 1, 4, 17, 84, 485, 3236, 24609, 210572, 2004749, 21033900, 241237001, 3003349124, 40345599957, 581765196884, 8963453118065, 146969877361116, 2555361954692189, 46963373856864092, 909707559383702169 (list; graph; listen)
OFFSET

0,3

FORMULA

E.g.f.: exp(1)*(Ei(1,1-x)-Ei(1,1))/(1-x). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 05 2007

PROGRAM

(PARI) a(n)=n!*sum(i=1, n, 1/i*sum(j=0, i-1, 1/j!))

CROSSREFS

Cf. A000254, A000774.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)

Equals for n=>1 the row sums of A165674 and A093905.

(End)

Sequence in context: A082028 A052315 A093904 this_sequence A087316 A104979 A081052

Adjacent sequences: A093341 A093342 A093343 this_sequence A093345 A093346 A093347

KEYWORD

nonn

AUTHOR

Ralf Stephan, Apr 26 2004

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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