The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A074759 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A074759

Number of degree-n permutations of order dividing n. Number of solutions to x^n = 1 in S_n.
(history; published version)

#31 by Alois P. Heinz at Mon Jul 05 09:52:12 EDT 2021

STATUS

editing

approved

#30 by Alois P. Heinz at Mon Jul 05 09:52:10 EDT 2021

FORMULA

a(n) = n! *coefficient of [x^n in expansion of ] exp(Sum_{k divides n} x^k/k).

STATUS

approved

editing

#29 by Alois P. Heinz at Mon Jul 05 09:48:03 EDT 2021

STATUS

editing

approved

#28 by Alois P. Heinz at Mon Jul 05 09:48:00 EDT 2021

FORMULA

a(n) = Sum_{d|n} A057731(n,d) for n >= 1. - Alois P. Heinz, Jul 05 2021

#27 by Alois P. Heinz at Mon Jul 05 09:44:51 EDT 2021

CROSSREFS

Cf. A057731, A074351, A261431.

STATUS

approved

editing

#26 by Alois P. Heinz at Tue May 14 14:47:57 EDT 2019

STATUS

editing

approved

#25 by Alois P. Heinz at Tue May 14 14:47:54 EDT 2019

CROSSREFS

Diagonal Main diagonal of A008307.

STATUS

approved

editing

#24 by OEIS Server at Wed Mar 02 09:08:54 EST 2016

LINKS

Alois P. Heinz, <a href="/A074759/b074759_2.txt">Table of n, a(n) for n = 0..450</a>

#23 by Alois P. Heinz at Wed Mar 02 09:08:54 EST 2016

STATUS

editing

approved

Discussion

Wed Mar 02

09:08

OEIS Server: Installed new b-file as b074759.txt.  Old b-file is now b074759_2.txt.

#22 by Alois P. Heinz at Wed Mar 02 09:08:50 EST 2016

LINKS

Alois P. Heinz, <a href="/A074759/b074759_2.txt">Table of n, a(n) for n = 0..200450</a>

STATUS

approved

editing