The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A007838 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A007838

Number of permutations of n elements with distinct cycle lengths.
(history; published version)

#70 by Alois P. Heinz at Thu Feb 24 20:25:49 EST 2022

STATUS

editing

approved

#69 by Alois P. Heinz at Thu Feb 24 20:25:41 EST 2022

FORMULA

Limit_{n-> infinity} a(n)/n! = exp(-gamma) = A080130. - Alois P. Heinz, Feb 23 2022

STATUS

approved

editing

#68 by Alois P. Heinz at Wed Feb 23 15:44:34 EST 2022

STATUS

editing

approved

#67 by Alois P. Heinz at Wed Feb 23 15:44:08 EST 2022

CROSSREFS

Cf. A000142, A080130, A087639, A088994, A317166.

#66 by Alois P. Heinz at Wed Feb 23 15:43:46 EST 2022

FORMULA

Limit_{n-> infinity} a(n)/n! = exp(-gamma) = A080130. - Alois P. Heinz, Feb 23 2022

CROSSREFS

Cf. A080130, A087639, A088994, A317166.

STATUS

approved

editing

#65 by Alois P. Heinz at Wed Feb 23 15:35:36 EST 2022

STATUS

editing

approved

#64 by Alois P. Heinz at Wed Feb 23 15:35:32 EST 2022

MAPLE

# second Maple program:

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

b(n, i-1) +b(n-i, min(i-1, n-i))/i))

end:

a:= n-> n!*b(n$2):

seq(a(n), n=0..23); # Alois P. Heinz, Feb 23 2022

STATUS

approved

editing

#63 by Alois P. Heinz at Wed Jul 25 15:00:32 EDT 2018

STATUS

editing

approved

#62 by Alois P. Heinz at Wed Jul 25 11:33:02 EDT 2018

CROSSREFS

Cf. A087639, A088994, A317166.

STATUS

approved

editing

#61 by Susanna Cuyler at Sun May 27 19:45:57 EDT 2018

STATUS

proposed

approved