The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A069294 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A069294

Number of n X 3 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.
(history; published version)

#23 by Charles R Greathouse IV at Thu Sep 08 08:45:05 EDT 2022

PROG

(MAGMAMagma) I:=[12, 110, 926, 7556]; [n le 4 select I[n] else 12*Self(n-1) - 34*Self(n-2) +14*Self(n-3) + 16*Self(n-4): n in [1..30]]; // G. C. Greubel, Apr 22 2018

Discussion

Thu Sep 08

08:45

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

#22 by Susanna Cuyler at Mon Apr 23 00:35:26 EDT 2018

STATUS

proposed

approved

#21 by G. C. Greubel at Sun Apr 22 22:00:39 EDT 2018

STATUS

editing

proposed

#20 by G. C. Greubel at Sun Apr 22 22:00:32 EDT 2018

PROG

(PARI) x='x+O('x^30); Vec(2*x^2*(6-17*x+7*x^2+8*x^3)/((1-8*x)*(2*x^3 +2*x^2-4*x+1))) \\ G. C. Greubel, Apr 22 2018

#19 by G. C. Greubel at Sun Apr 22 21:51:58 EDT 2018

LINKS

G. C. Greubel, <a href="/A069294/b069294.txt">Table of n, a(n) for n = 2..1001</a>

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (12,-34,14,16).

MATHEMATICA

LinearRecurrence[{12, -34, 14, 16}, {12, 110, 926, 7556}, 50] (* G. C. Greubel, Apr 22 2018 *)

PROG

(MAGMA) I:=[12, 110, 926, 7556]; [n le 4 select I[n] else 12*Self(n-1) - 34*Self(n-2) +14*Self(n-3) + 16*Self(n-4): n in [1..30]]; // G. C. Greubel, Apr 22 2018

STATUS

approved

editing

#18 by Charles R Greathouse IV at Tue May 10 15:25:11 EDT 2016

STATUS

editing

approved

#17 by Charles R Greathouse IV at Tue May 10 15:25:09 EDT 2016

PROG

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; 16, 14, -34, 12]^(n-2)*[12; 110; 926; 7556])[1, 1] \\ Charles R Greathouse IV, May 10 2016

STATUS

approved

editing

#16 by Charles R Greathouse IV at Sat Jun 13 00:50:32 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (12,-34,14,16).

Discussion

Sat Jun 13

00:50

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

#15 by Charles R Greathouse IV at Fri Jun 12 15:25:05 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (12,-34,14,16).

Discussion

Fri Jun 12

15:25

OEIS Server: https://oeis.org/edit/global/2436

#14 by Charles R Greathouse IV at Fri May 10 12:45:00 EDT 2013

FORMULA

G.f.: 2*x^2*(6-17*x+7*x^2+8*x^3)/(1-8*x)/(2*x^3+2*x^2-4*x+1). - _Vladeta Jovovic (vladeta(AT)eunet.rs), _, Jul 02 2003

Discussion

Fri May 10

12:45

OEIS Server: https://oeis.org/edit/global/1911