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A203448 Number of (n+1)X5 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
64, 174, 1177, 7481, 46853, 265581, 1371532, 6477799, 28186736, 113797303, 429229381, 1522307251, 5106384889, 16285979144, 49619743791, 145033371213, 408217994491, 1110183398793, 2926141105334, 7495234690866, 18704470939705 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A203452

LINKS

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

FORMULA

Empirical: a(n) = 27*a(n-1) -349*a(n-2) +2873*a(n-3) -16900*a(n-4) +75530*a(n-5) -266110*a(n-6) +756470*a(n-7) -1759615*a(n-8) +3371225*a(n-9) -5311735*a(n-10) +6788795*a(n-11) -6760390*a(n-12) +4605980*a(n-13) -742900*a(n-14) -3417340*a(n-15) +6277505*a(n-16) -7016035*a(n-17) +5936645*a(n-18) -4029025*a(n-19) +2236520*a(n-20) -1019590*a(n-21) +379730*a(n-22) -114010*a(n-23) +26975*a(n-24) -4849*a(n-25) +623*a(n-26) -51*a(n-27) +2*a(n-28) for n>37

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A251077 A228666 A209379 * A078093 A209371 A317763

Adjacent sequences:  A203445 A203446 A203447 * A203449 A203450 A203451

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 02 2012

STATUS

approved

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Last modified August 12 19:49 EDT 2022. Contains 356077 sequences. (Running on oeis4.)