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Revision History for A135177

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A135177

a(n) = p^2*(p-1), where p = prime(n).
(history; published version)

#44 by Michel Marcus at Tue Nov 22 02:03:29 EST 2022

STATUS

proposed

reviewed

#43 by Amiram Eldar at Tue Nov 22 01:32:10 EST 2022

STATUS

editing

proposed

#42 by Amiram Eldar at Tue Nov 22 00:50:37 EST 2022

FORMULA

Product_{n>=1} (1 - 1/a(n)) = A065414. - _From _Amiram Eldar_, Nov 22 2022: (Start)

Product_{n>=1} (1 + 1/a(n)) = A065483.

Product_{n>=1} (1 - 1/a(n)) = A065414. (End)

CROSSREFS

Cf. A001248 (p^2), A030078 (p^3), A045991 (n^2 * (n-1)), A065414, A065483, A152441.

#41 by Amiram Eldar at Tue Nov 22 00:49:18 EST 2022

FORMULA

a(n) = p^3 - p^2 = A030078(n) - A001248(n).

#40 by Amiram Eldar at Tue Nov 22 00:48:51 EST 2022

LINKS

<a href="/index/Pri#prime_powers">Index to sequences related to prime powers</a>.

FORMULA

Product_{n>=1} (1 - 1/a(n)) = A065414. - Amiram Eldar, Nov 22 2022

CROSSREFS

Cf. A001248 (p^2), A030078 (p^3), A045991 (n^2 * (n-1)), A065414, A152441.

STATUS

approved

editing

#39 by Charles R Greathouse IV at Thu Sep 08 08:45:32 EDT 2022

PROG

(MAGMAMagma)[(p^3-p^2): p in PrimesUpTo(200)]; // Vincenzo Librandi, Dec 15 2010

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#38 by Joerg Arndt at Mon Nov 09 03:26:39 EST 2020

STATUS

reviewed

approved

#37 by Michel Marcus at Mon Nov 09 03:08:05 EST 2020

STATUS

proposed

reviewed

#36 by Amiram Eldar at Mon Nov 09 02:18:21 EST 2020

STATUS

editing

proposed

#35 by Amiram Eldar at Mon Nov 09 02:07:17 EST 2020

FORMULA

Sum_{n>=1} 1/a(n) = A152441. - Amiram Eldar, Nov 09 2020

CROSSREFS

Cf. A001248 (p^2), A030078 (p^3), A045991 (n^2 * (n-1)), A152441.

STATUS

approved

editing