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Revision History for A024716 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A024716 a(n) = Sum_{1 <= j <= i <= n} S(i,j), where S(i,j) are Stirling numbers of the second kind.
(history; published version)
#60 by Michael De Vlieger at Tue Jul 16 16:15:05 EDT 2024
STATUS

reviewed

approved

#59 by Peter Luschny at Tue Jul 16 16:04:37 EDT 2024
STATUS

proposed

reviewed

#58 by Alois P. Heinz at Tue Jul 16 15:52:15 EDT 2024
STATUS

editing

proposed

#57 by Alois P. Heinz at Tue Jul 16 15:32:08 EDT 2024
FORMULA

a(n) = (1/e)*Sum_{k >= >=1} (k^n - 1)/((k - 1)()*(k - 1)!). - Joseph Wheat, Jul 16 2024

Discussion
Tue Jul 16 15:33
Alois P. Heinz: added "*" ... now it works ...
#56 by Alois P. Heinz at Tue Jul 16 15:31:28 EDT 2024
STATUS

proposed

editing

#55 by Joseph Wheat at Tue Jul 16 15:16:34 EDT 2024
STATUS

editing

proposed

Discussion
Tue Jul 16 15:31
Alois P. Heinz: I cannot verify the new formula ...
#54 by Joseph Wheat at Tue Jul 16 15:14:55 EDT 2024
FORMULA

a(n) = (1/e)*Sum_{k >= 1} (1 + k + k^2 + ... + k^(n - 1)/((k - 1))/()(k - 1)!. - _)!). - _Joseph Wheat_, Jul 16 2024

STATUS

proposed

editing

Discussion
Tue Jul 16 15:16
Joseph Wheat: That looks much nicer, thank you Stefano.
#53 by Joseph Wheat at Tue Jul 16 13:02:29 EDT 2024
STATUS

editing

proposed

Discussion
Tue Jul 16 14:45
Stefano Spezia: 1 + k + k^2 + ... + k^(n - 1) = (k^n - 1)/(k - 1). It is better to simplify rather to keep a double summation
#52 by Joseph Wheat at Tue Jul 16 13:02:22 EDT 2024
FORMULA

a(n) = (1/e)*Sum_{k >= 1} (1 + k + k^2 + ... + k^(n- - 1))/(k - 1)!. - Joseph Wheat, Jul 16 2024

STATUS

proposed

editing

#51 by Joseph Wheat at Tue Jul 16 12:29:12 EDT 2024
STATUS

editing

proposed

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Last modified August 30 19:33 EDT 2024. Contains 375545 sequences. (Running on oeis4.)