The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A207126 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A207126

Number of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:15 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Feb 15 2012

Discussion

Sat Mar 31

12:37

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Wed Feb 15 08:47:59 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Wed Feb 15 08:47:44 EST 2012

LINKS

R. H. Hardin, <a href="/A207126/b207126.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Wed Feb 15 08:47:14 EST 2012

NAME

allocated for Ron HardinNumber of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

DATA

16, 256, 1296, 6400, 36864, 175561, 762129, 3374569, 14348944, 58201641, 233631225, 924038404, 3575442025, 13669117225, 51780822916, 193955683216, 720138932100, 2656156771984, 9731679550096, 35444317041169, 128475764131225

OFFSET

1,1

COMMENTS

Row 6 of A207123

FORMULA

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +151*a(n-3) -745*a(n-4) +2222*a(n-5) -5679*a(n-6) +21328*a(n-7) -52118*a(n-8) +98913*a(n-9) -334471*a(n-10) +691695*a(n-11) -968051*a(n-12) +3424827*a(n-13) -6009825*a(n-14) +5652383*a(n-15) -25675661*a(n-16) +36871821*a(n-17) -17307097*a(n-18) +151230139*a(n-19) -163399581*a(n-20) -9100169*a(n-21) -724111551*a(n-22) +510014161*a(n-23) +373557291*a(n-24) +2839906825*a(n-25) -997587885*a(n-26) -2000328083*a(n-27) -9018675022*a(n-28) +513770271*a(n-29) +6343010388*a(n-30) +22753048028*a(n-31) +3770782754*a(n-32) -13745500241*a(n-33) -44790453292*a(n-34) -14352660423*a(n-35) +21250373533*a(n-36) +67602030126*a(n-37) +28245367596*a(n-38) -23867092008*a(n-39) -76800621528*a(n-40) -35807161968*a(n-41) +19604960064*a(n-42) +64172537712*a(n-43) +30229857072*a(n-44) -11902793184*a(n-45) -37974609216*a(n-46) -16580096064*a(n-47) +5301941184*a(n-48) +15012127872*a(n-49) +5380929792*a(n-50) -1620829440*a(n-51) -3505358592*a(n-52) -856604160*a(n-53) +302330880*a(n-54) +362797056*a(n-55)

EXAMPLE

Some solutions for n=4

..0..0..0..0....1..0..0..0....0..0..0..0....1..1..0..0....1..0..0..0

..0..0..0..0....0..1..1..0....1..0..0..0....1..1..1..0....1..0..0..0

..0..0..0..0....1..0..0..0....0..0..0..0....1..0..0..0....1..0..0..0

..0..0..0..0....0..0..0..0....0..0..0..0....1..1..0..0....1..0..0..0

..0..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0....1..0..0..0

..0..0..0..0....0..0..0..0....0..0..0..0....1..0..0..0....0..0..0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 15 2012

STATUS

approved

editing

#1 by Ron Hardin at Wed Feb 15 08:37:20 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved