The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A280302

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A280302

Smallest k such that (n+1)^k - n^k is divisible by a square > 1.
(history; published version)

#27 by Joerg Arndt at Tue Dec 07 10:59:55 EST 2021

STATUS

reviewed

approved

#26 by Michel Marcus at Tue Dec 07 01:06:10 EST 2021

STATUS

proposed

reviewed

#25 by Jon E. Schoenfield at Mon Dec 06 21:32:54 EST 2021

STATUS

editing

proposed

#24 by Jon E. Schoenfield at Mon Dec 06 21:32:10 EST 2021

EXAMPLE

a(1) = 6 is because (1+1)^6 - 1^6 = 63 is divisible by a square 9 = 3^2.

CROSSREFS

Cf. A289629, A280547, A289985.

STATUS

approved

editing

#23 by Peter Luschny at Fri May 15 09:05:11 EDT 2020

STATUS

reviewed

approved

#22 by Joerg Arndt at Fri May 15 08:55:20 EDT 2020

STATUS

proposed

reviewed

#21 by Jinyuan Wang at Fri May 15 06:59:53 EDT 2020

STATUS

editing

proposed

#20 by Jinyuan Wang at Fri May 15 06:59:45 EDT 2020

CROSSREFS

Cf. A049094, A053670, A237043, A280203, A280207, A280208, A280209, A280296, A282176, A282177, A280307.

STATUS

proposed

editing

#19 by Jinyuan Wang at Fri May 15 06:59:08 EDT 2020

STATUS

editing

proposed

#18 by Jinyuan Wang at Fri May 15 06:58:56 EDT 2020

COMMENTS

a(n) <= p^2 - p, where p = A053670(n). - Jinyuan Wang, May 15 2020

CROSSREFS

Cf. A049094, A053670, A237043, A280203, A280207, A280208, A280209, A280296, A282176, A282177.

STATUS

approved

editing