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A258532
Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1
14184, 85259, 523716, 3133384, 18460629, 106485657, 606576800, 3416159956, 19226604054, 108024515196, 607457990432, 3414790673649, 19206077118085, 108039270365307, 607889560061188, 3420580168661212, 19249140658467974
OFFSET
1,1
COMMENTS
Row 3 of A258530
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) -38*a(n-2) -32*a(n-3) +379*a(n-4) -1168*a(n-5) +2072*a(n-6) +4756*a(n-7) -10786*a(n-8) -29864*a(n-9) -1812*a(n-10) +80000*a(n-11) -657762*a(n-12) +3299328*a(n-13) +2102472*a(n-14) -12998648*a(n-15) -116749*a(n-16) -30229796*a(n-17) -68744086*a(n-18) +148872448*a(n-19) +1158685607*a(n-20) -444634768*a(n-21) -3636584816*a(n-22) +624070596*a(n-23) -8066581456*a(n-24) +11290519264*a(n-25) +53521763936*a(n-26) -16292626368*a(n-27) -104210784704*a(n-28) -146719887872*a(n-29) +245882904832*a(n-30) +254599577600*a(n-31) -383082742784*a(n-32) +645842774016*a(n-33) -801745596416*a(n-34) -1232390627328*a(n-35) +2690572042240*a(n-36) -1429994373120*a(n-37) -125407264768*a(n-38) +2861540048896*a(n-39) -4771857039360*a(n-40) +1722833960960*a(n-41) +2003257262080*a(n-42) -3508692582400*a(n-43) +3703117447168*a(n-44) -1069874675712*a(n-45) -1947868332032*a(n-46) +2181642059776*a(n-47) -1265069195264*a(n-48) +267093278720*a(n-49) +576062488576*a(n-50) -541165879296*a(n-51) +137438953472*a(n-52) for n>58
EXAMPLE
Some solutions for n=2
..0..0..0..0....0..0..1..1....0..0..1..1....0..1..1..0....1..0..0..1
..0..0..1..0....0..0..0..1....1..0..1..1....1..1..0..1....0..0..0..0
..0..0..1..0....1..1..1..1....1..0..0..1....0..0..1..1....0..1..1..1
..0..1..1..1....0..0..1..0....1..1..1..0....0..0..1..0....0..1..0..1
..0..1..1..1....1..1..1..0....1..1..0..0....1..1..0..0....0..0..0..1
CROSSREFS
Sequence in context: A184565 A251068 A184559 * A258525 A254917 A270800
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jun 02 2015
STATUS
approved