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A251109 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1
1844, 15281, 99147, 667626, 4633551, 32006770, 219945737, 1519227598, 10534571961, 72985741167, 505028461060, 3495190141883, 24199011679369, 167530546019496, 1159625243535549, 8026783158686048, 55563614902322254 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A251113

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 43*a(n-1) -901*a(n-2) +12359*a(n-3) -125315*a(n-4) +1002507*a(n-5) -6581234*a(n-6) +36365454*a(n-7) -172080539*a(n-8) +705943954*a(n-9) -2533681045*a(n-10) +8011124091*a(n-11) -22436222059*a(n-12) +55894587875*a(n-13) -124274026752*a(n-14) +247186365655*a(n-15) -440527578906*a(n-16) +703925154060*a(n-17) -1008373798973*a(n-18) +1293791240766*a(n-19) -1484625648052*a(n-20) +1521230814042*a(n-21) -1390827118773*a(n-22) +1136788452141*a(n-23) -837122118422*a(n-24) +565312756418*a(n-25) -359896930303*a(n-26) +220604071719*a(n-27) -126908771586*a(n-28) +59925988080*a(n-29) -11993028142*a(n-30) -17217635333*a(n-31) +28640573888*a(n-32) -27236031567*a(n-33) +19903800500*a(n-34) -12075012435*a(n-35) +6297632344*a(n-36) -2881025805*a(n-37) +1163203367*a(n-38) -404743449*a(n-39) +113084372*a(n-40) -23926815*a(n-41) +6865072*a(n-42) -5564876*a(n-43) +4018299*a(n-44) -1868963*a(n-45) +563293*a(n-46) -109014*a(n-47) +15462*a(n-48) -3872*a(n-49) +1375*a(n-50) -260*a(n-51) +18*a(n-52) for n>54

EXAMPLE

Some solutions for n=3

..2..0..0..1..2....0..0..0..0..2....1..0..0..0..2....0..0..0..0..2

..2..0..0..0..2....0..0..0..0..2....2..2..2..0..1....0..0..0..0..1

..2..0..0..0..1....1..1..0..0..2....0..0..2..2..0....2..2..2..0..0

..2..1..1..1..0....2..1..1..0..0....1..0..0..2..0....0..0..2..2..1

CROSSREFS

Sequence in context: A112017 A297894 A290393 * A236160 A209966 A031935

Adjacent sequences:  A251106 A251107 A251108 * A251110 A251111 A251112

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved

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Last modified January 26 10:21 EST 2022. Contains 350598 sequences. (Running on oeis4.)