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Revision History for A054631

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Showing entries 1-10 | older changes
Triangle read by rows: row n (n >= 1) contains the numbers T(n,k) = Sum_{d|n} phi(d)*k^(n/d)/n, for k=1..n.
(history; published version)
#52 by Alois P. Heinz at Wed Mar 10 11:23:02 EST 2021
STATUS

proposed

approved

#51 by Seiichi Manyama at Wed Mar 10 11:22:09 EST 2021
STATUS

editing

proposed

#50 by Seiichi Manyama at Wed Mar 10 11:21:43 EST 2021
LINKS

Seiichi Manyama, <a href="/A054631/b054631.txt">Rows n = 1..140, flattened</a>

STATUS

approved

editing

Discussion
Wed Mar 10
11:22
Seiichi Manyama: Sorry..
#49 by Alois P. Heinz at Wed Mar 10 11:14:31 EST 2021
STATUS

proposed

approved

#48 by Michel Marcus at Wed Mar 10 11:12:21 EST 2021
STATUS

editing

proposed

#47 by Michel Marcus at Wed Mar 10 11:12:13 EST 2021
LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Necklace_(combinatorics)">Necklace (combinatorics)</a>

<a href="https://en.wikipedia.org/wiki/Necklace_(combinatorics)">Necklace (combinatorics)</a>

STATUS

proposed

editing

#46 by Seiichi Manyama at Wed Mar 10 11:04:41 EST 2021
STATUS

editing

proposed

#45 by Seiichi Manyama at Wed Mar 10 09:27:31 EST 2021
LINKS

Seiichi Manyama, <a href="/A054631/b054631.txt">Table of n, a(n) for Rows n = 1..9870<140, flattened/a>

#44 by Seiichi Manyama at Wed Mar 10 09:25:14 EST 2021
LINKS

Seiichi Manyama, <a href="/A054631/b054631.txt">Table of n, a(n) for n = 1..9870</a>

#43 by Seiichi Manyama at Wed Mar 10 08:57:10 EST 2021
PROG

(PARI) T(n, k) = sumdiv(n, d, eulerphi(d)*k^(n/d))/n; \\ Seiichi Manyama, Mar 10 2021(PARI) T(n, k) = sum(j=1, n, k^gcd(j, n))/n; \\ _Seiichi Manyama_, Mar 10 2021

(PARI) T(n, k) = sum(j=1, n, k^gcd(j, n))/n; \\ Seiichi Manyama, Mar 10 2021