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Revision History for A036085

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Showing entries 1-10 | older changes
Centered cube numbers: (n+1)^7 + n^7.
(history; published version)
#23 by Charles R Greathouse IV at Thu Sep 08 08:44:52 EDT 2022
PROG

(MAGMAMagma) [(n+1)^7+n^7: n in [0..30]]; // Vincenzo Librandi, Aug 27 2011

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#22 by Jon E. Schoenfield at Fri Nov 09 23:01:25 EST 2018
STATUS

proposed

approved

#21 by Jon E. Schoenfield at Fri Nov 09 23:01:18 EST 2018
STATUS

editing

proposed

#20 by Jon E. Schoenfield at Fri Nov 09 23:01:15 EST 2018
NAME

Centered cube numbers: (n+1)^7 + n^7.

COMMENTS

Never prime, as a(n) = (2n+1)*(n^6 + 3n^5 + 9n^4 + 13n^3 + 11n^2 + 5n + 1). Semiprimes in the sequence begin for n = 1, 2, 8, 9, 21, 30, 33, 53, 65, 81, 83. - _Jonathan Vos Post, _, Aug 26 2011

FORMULA

a(n) = A001015(n+1) + A001015(n).

G.f. : (1+x)*(x^6 + 120*x^5 + 1191*x^4 + 2416*x^3 + 1191*x^2 + 120*x + 1) / (x-1)^8 . - _R. J. Mathar, _, Aug 27 2011

PROG

(MAGMA) [(n+1)^7+n^7: n in [0..30]]; // _Vincenzo Librandi, _, Aug 27 2011

AUTHOR
STATUS

approved

editing

#19 by Charles R Greathouse IV at Sun Jun 18 02:22:44 EDT 2017
STATUS

editing

approved

#18 by Charles R Greathouse IV at Sun Jun 18 02:22:42 EDT 2017
LINKS

<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).

STATUS

approved

editing

#17 by Charles R Greathouse IV at Wed Oct 07 10:49:31 EDT 2015
STATUS

editing

approved

#16 by Charles R Greathouse IV at Wed Oct 07 10:49:27 EDT 2015
PROG

(PARI) a(n)=(n+1)^7+n^7 \\ Charles R Greathouse IV, Oct 07 2015

STATUS

approved

editing

#15 by Charles R Greathouse IV at Sat Jun 13 00:49:14 EDT 2015
LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).

Discussion
Sat Jun 13
00:49
OEIS Server: https://oeis.org/edit/global/2439
#14 by Charles R Greathouse IV at Fri Jun 12 15:23:52 EDT 2015
LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).

Discussion
Fri Jun 12
15:23
OEIS Server: https://oeis.org/edit/global/2436