The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A048906

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A048906

Octagonal heptagonal numbers.
(history; published version)

#33 by Hugo Pfoertner at Wed Aug 02 07:16:12 EDT 2023

STATUS

reviewed

approved

#32 by Joerg Arndt at Wed Aug 02 06:39:17 EDT 2023

STATUS

proposed

reviewed

#31 by Michel Marcus at Wed Aug 02 05:30:10 EDT 2023

STATUS

editing

proposed

#30 by Michel Marcus at Wed Aug 02 05:30:07 EDT 2023

FORMULA

Contribution from _From _Ant King_, Dec 30 2011: (Start)

STATUS

approved

editing

#29 by Charles R Greathouse IV at Thu Sep 08 08:44:58 EDT 2022

PROG

(MAGMAMagma) I:=[1, 297045, 69010153345]; [n le 3 select I[n] else 232323*Self(n-1)-232323*Self(n-2)+Self(n-3): n in [1..15]]; // Vincenzo Librandi, Dec 28 2011

Discussion

Thu Sep 08

08:44

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

#28 by Bruno Berselli at Sat Jun 20 11:37:36 EDT 2015

STATUS

reviewed

approved

#27 by Joerg Arndt at Sat Jun 20 08:19:34 EDT 2015

STATUS

proposed

reviewed

#26 by Michel Marcus at Sat Jun 20 08:18:56 EDT 2015

STATUS

editing

proposed

#25 by Michel Marcus at Sat Jun 20 08:18:35 EDT 2015

COMMENTS

As n increases, this sequence is approximately geometric with common ratio r = lim(n->Infinity,a(n)/a(n-1)) = (sqrt(5)+sqrt(6))^8 = 116161+21208*sqrt(30). - _Ant King, _, Dec 30 2011

LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (232323,-232323,1).

FORMULA

Contribution from From _Harvey P. Dale, _, Dec 09 2011: (Start)

a(1)=1, a(2)=297045, a(3)=69010153345, a(n) = 232323*a(n-1)-232323*a(n-2)+a(n-3). (StartEnd)

Contribution from _Ant King, _, Dec 30 2011: (Start)

PROG

(MAGMA) I:=[1, 297045, 69010153345]; [n le 3 select I[n] else 232323*Self(n-1)-232323*Self(n-2)+Self(n-3): n in [1..15]]; // _Vincenzo Librandi, _, Dec 28 2011

STATUS

approved

editing

#24 by Charles R Greathouse IV at Sat Jun 13 00:50:00 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (232323,-232323,1).

Discussion

Sat Jun 13

00:50

OEIS Server: https://oeis.org/edit/global/2439