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A183410 Number of nX3 binary arrays with each sum of a(1..i,1..j) no greater than i*j/2 and rows and columns in nondecreasing order 1
2, 8, 22, 75, 152, 410, 719, 1632, 2564, 5130, 7525, 13720, 19058, 32359, 43246, 69423, 89870, 137872, 174193, 257432, 318491, 456159, 554945, 773911, 927617, 1264264, 1496874, 1999757, 2341547, 3073792, 3565513, 4608374, 5299770, 6755665, 7711920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A183413

LINKS

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

FORMULA

Empirical: a(n)=a(n-1)+2*a(n-4)-2*a(n-5)+a(n-6)-a(n-7)+3*a(n-8)-3*a(n-9)-2*a(n-10)+2*a(n-11)-8*a(n-12)+8*a(n-13)-3*a(n-14)+3*a(n-15)-2*a(n-16)+2*a(n-17)+8*a(n-18)-8*a(n-19)+12*a(n-20)-12*a(n-21)+2*a(n-22)-2*a(n-23)-2*a(n-24)+2*a(n-25)-12*a(n-26)+12*a(n-27)-8*a(n-28)+8*a(n-29)+2*a(n-30)-2*a(n-31)+3*a(n-32)-3*a(n-33)+8*a(n-34)-8*a(n-35)+2*a(n-36)-2*a(n-37)-3*a(n-38)+3*a(n-39)-a(n-40)+a(n-41)-2*a(n-42)+2*a(n-43)+a(n-46)-a(n-47)

EXAMPLE

Some solutions for 4X3

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

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

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

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

CROSSREFS

Sequence in context: A045695 A106053 A121135 * A072929 A328140 A053958

Adjacent sequences:  A183407 A183408 A183409 * A183411 A183412 A183413

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved

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Last modified January 19 20:03 EST 2022. Contains 350466 sequences. (Running on oeis4.)