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A185744 Number of (n+1)X4 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace 1
40, 544, 4056, 33768, 273928, 2237680, 18242392, 148782184, 1213377952, 9895860408, 80705698992, 658196978784, 5367941569504, 43778383255816, 357035645118432, 2911812758671528, 23747359117977160, 193672159175543352 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A185750

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=9*a(n-1)-17*a(n-2)+73*a(n-3)+92*a(n-4)-240*a(n-5)+1138*a(n-6)-856*a(n-7)-4412*a(n-8)+5722*a(n-9)+7036*a(n-10)-23333*a(n-11)-7776*a(n-12)+19505*a(n-13)+27120*a(n-14)+27301*a(n-15)-16807*a(n-16)-83683*a(n-17)+14978*a(n-18)+28073*a(n-19)+37181*a(n-20)-34392*a(n-21)+3645*a(n-22)-1339*a(n-23)-5386*a(n-24)-26621*a(n-25)+37448*a(n-26)-1164*a(n-27)+4386*a(n-28)-4788*a(n-29)-5243*a(n-30)+3211*a(n-31)-193*a(n-32)+52*a(n-33)+344*a(n-34)+16*a(n-35)-128*a(n-36)

EXAMPLE

Some solutions for 3X4

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

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

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

CROSSREFS

Sequence in context: A247409 A107419 A159946 * A269497 A097823 A263953

Adjacent sequences:  A185741 A185742 A185743 * A185745 A185746 A185747

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 01 2011

STATUS

approved

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Last modified July 29 06:21 EDT 2021. Contains 346340 sequences. (Running on oeis4.)