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A203447 Number of (n+1)X4 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing 1
32, 80, 321, 1177, 4200, 13777, 42112, 120522, 325918, 838830, 2069033, 4920266, 11341301, 25458409, 55884995, 120402167, 255405453, 534912676, 1108733446, 2279008959, 4653553590, 9452873217, 19124629018, 38573101568, 77618789808 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A203452

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) -76*a(n-2) +262*a(n-3) -583*a(n-4) +847*a(n-5) -726*a(n-6) +132*a(n-7) +561*a(n-8) -869*a(n-9) +704*a(n-10) -362*a(n-11) +119*a(n-12) -23*a(n-13) +2*a(n-14) for n>17

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A209378 A182466 A234133 * A340701 A043410 A044170

Adjacent sequences:  A203444 A203445 A203446 * A203448 A203449 A203450

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 02 2012

STATUS

approved

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Last modified August 16 11:28 EDT 2022. Contains 356168 sequences. (Running on oeis4.)