The On-Line Encyclopedia of Integer Sequences (OEIS)

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A205258

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:05 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jan 24 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Tue Jan 24 17:38:41 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Tue Jan 24 17:38:38 EST 2012

LINKS

R. H. Hardin, <a href="/A205258/b205258.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Tue Jan 24 17:38:19 EST 2012

NAME

allocated for Ron HardinNumber of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order

DATA

1814, 26185, 379283, 5487807, 79391891, 1148637735, 16618559061, 240437007466, 3478637408972, 50328870718111, 728157294220956, 10534967761052004, 152419740740110092, 2205206312498168603, 31904888800224330056

OFFSET

1,1

COMMENTS

Column 2 of A205264

FORMULA

Empirical: a(n) = 12*a(n-1) +26*a(n-2) +147*a(n-3) +31*a(n-4) -1556*a(n-5) -3897*a(n-6) -651*a(n-7) +17307*a(n-8) +21426*a(n-9) -11130*a(n-10) -33322*a(n-11) -26057*a(n-12) -17028*a(n-13) +13934*a(n-14) +47659*a(n-15) +12966*a(n-16) +8775*a(n-17) -8902*a(n-18) -11055*a(n-19) +1056*a(n-20) -3955*a(n-21) +2305*a(n-22) -300*a(n-23) +322*a(n-24) -32*a(n-25) -24*a(n-26)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Jan 24 2012

STATUS

approved

editing

#1 by Ron Hardin at Tue Jan 24 17:35:33 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved