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A186122 Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum 1
18, 94, 262, 946, 2978, 10502, 34678, 120290, 405274, 1395998, 4745006, 16291134, 55591062, 190569866, 651446994, 2231635906, 7634948674, 26146587758, 89488608966, 306421554338, 1048950425454, 3591569027638, 12295940315506 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A186128

LINKS

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

FORMULA

Empirical: a(n)=7*a(n-1)-a(n-2)-83*a(n-3)+105*a(n-4)+366*a(n-5)-566*a(n-6)-920*a(n-7)+1225*a(n-8)+1920*a(n-9)-1210*a(n-10)-3435*a(n-11)-521*a(n-12)+4429*a(n-13)+4158*a(n-14)-3945*a(n-15)-6055*a(n-16)+1059*a(n-17)+4227*a(n-18)+1217*a(n-19)-275*a(n-20)-965*a(n-21)-1160*a(n-22)-245*a(n-23)+357*a(n-24)+391*a(n-25)+5*a(n-26)-292*a(n-27)-120*a(n-28)+80*a(n-29)+80*a(n-30)+64*a(n-31) for n>33

EXAMPLE

Some solutions for 3X4

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

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

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

CROSSREFS

Sequence in context: A117735 A041624 A227812 * A275253 A034725 A047929

Adjacent sequences:  A186119 A186120 A186121 * A186123 A186124 A186125

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 13 2011

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)