A185499 - OEIS

A185499

Number of (n+1)X3 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

99, 697, 4451, 30775, 207705, 1418183, 9658679, 65903901, 449371311, 3065504279, 20907068253, 142616273243, 972755259615, 6635544380685, 45262083721743, 308751947312775, 2106102500275185, 14366708767138979, 98001661767659167

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OFFSET

1,1

COMMENTS

Column 2 of A185504

LINKS

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

FORMULA

Empirical: a(n)=16*a(n-1)-66*a(n-2)-134*a(n-3)+1443*a(n-4)-2944*a(n-5)+4970*a(n-6)-14851*a(n-7)-11571*a(n-8)+61044*a(n-9)+159738*a(n-10)+413413*a(n-11)-2914428*a(n-12)-2469514*a(n-13)+6557377*a(n-14)+39589072*a(n-15)+22764483*a(n-16)-206879740*a(n-17)-346733427*a(n-18)+278776495*a(n-19)+1495676084*a(n-20)+2695509571*a(n-21)-4686678083*a(n-22)-7299225497*a(n-23)+6056115083*a(n-24)-16127233866*a(n-25)-88281813514*a(n-26)-7261550680*a(n-27)+1088424262105*a(n-28)+899731654396*a(n-29)-3245433499238*a(n-30)-7815484803768*a(n-31)-406652905248*a(n-32)+22811862007908*a(n-33)+22421132651472*a(n-34)-15498436106752*a(n-35)-12123613528560*a(n-36)-10766636743176*a(n-37)-5067935559232*a(n-38)-408175178563744*a(n-39)-32063168173376*a(n-40)+11604755392032*a(n-41)+674372049197920*a(n-42)+1660897630461888*a(n-43)+3566535713014464*a(n-44)-377394253895680*a(n-45)-1288439207533312*a(n-46)-10038152022954496*a(n-47)-16065995298211328*a(n-48)-17310921165163520*a(n-49)-7179507436965888*a(n-50)+9381015453671424*a(n-51)+65340992207912960*a(n-52)+65285348845109248*a(n-53)+92246407919616000*a(n-54)+129518737725161472*a(n-55)-10289528873484288*a(n-56)-278577260634832896*a(n-57)-222025407375605760*a(n-58)-108195623685586944*a(n-59)-215332645430624256*a(n-60)-241001042326585344*a(n-61)+66507208516435968*a(n-62)+264107131416870912*a(n-63)+164236535305076736*a(n-64)+145690315255185408*a(n-65)+161037241144049664*a(n-66)+51643863923687424*a(n-67)-99781853552050176*a(n-68)-113923742849040384*a(n-69)-40634522378698752*a(n-70)+14258715897102336*a(n-71)+17583870987730944*a(n-72)+5072270477230080*a(n-73)

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Sequence in context: A212779 A321636 A154359 * A061366 A177686 A135219

Adjacent sequences: A185496 A185497 A185498 * A185500 A185501 A185502

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 29 2011

STATUS

approved