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Revision History for A034474

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = 5^n + 1.
(history; published version)
#61 by Joerg Arndt at Thu Feb 08 01:36:52 EST 2024
STATUS

editing

approved

#60 by Paolo P. Lava at Wed Feb 07 16:42:43 EST 2024
COMMENTS

Numbers n for which the expression 5^n/(n-1) is an integer. - Paolo P. Lava, May 29 2006

STATUS

approved

editing

#59 by Michael De Vlieger at Wed Dec 06 22:36:14 EST 2023
STATUS

reviewed

approved

#58 by Wesley Ivan Hurt at Wed Dec 06 20:31:13 EST 2023
STATUS

proposed

reviewed

#57 by Elmo R. Oliveira at Wed Dec 06 17:05:48 EST 2023
STATUS

editing

proposed

#56 by Elmo R. Oliveira at Wed Dec 06 17:04:02 EST 2023
COMMENTS

a(n) is the deficiency of 3 * 5^n (see A033879). - Patrick J. McNab, May 28 2017

FORMULA

a(n) = 5*a(n-1) - 4 = 6*with a(n-10) - 5*a(n-= 2).

a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.

G.f.: 1/(1-x) + 1/(1-5*x) = (2-6*x)/((1-x)*(1-5*x)).

E.g.f.: e^exp(x ) + e^exp(5*x). (End)

From Elmo R. Oliveira, Dec 06 2023: (Start)

a(n) = A000351(n) + 1.

a(n) = 2*A034478(n). (End)

STATUS

approved

editing

#55 by Charles R Greathouse IV at Thu Sep 08 08:44:51 EDT 2022
PROG

(MAGMAMagma) [5^n+1: n in [0..30]]; // Vincenzo Librandi, Jan 11 2017

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#54 by N. J. A. Sloane at Sat Jan 11 20:47:07 EST 2020
STATUS

proposed

approved

#53 by Michael De Vlieger at Sat Jan 11 19:52:06 EST 2020
STATUS

editing

proposed

#52 by Michael De Vlieger at Sat Jan 11 19:52:04 EST 2020
LINKS

Amelia Carolina Sparavigna, <a href="https://doi.org/10.18483/ijSci.2188">Some Groupoids and their Representations by Means of Integer Sequences</a>, International Journal of Sciences (2019) Vol. 8, No. 10.

STATUS

approved

editing