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A203725 Number of (n+1)X6 0..2 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) nondecreasing in column and row directions, respectively 1
2278, 12470, 58048, 230014, 808455, 2572189, 7508980, 20395251, 51998196, 125414516, 287825519, 631806642, 1332124235, 2708040628, 5324902859, 10157044643, 18841255222, 34065603378, 60151407191, 103913751089 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A203728

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +105*a(n-4) -168*a(n-5) -91*a(n-6) +512*a(n-7) -330*a(n-8) -560*a(n-9) +910*a(n-10) -910*a(n-12) +560*a(n-13) +330*a(n-14) -512*a(n-15) +91*a(n-16) +168*a(n-17) -105*a(n-18) +21*a(n-20) -8*a(n-21) +a(n-22) for n>30

EXAMPLE

Some solutions for n=4

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

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

..1..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2....1..1..2..2..2..2

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

..2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2....0..2..2..2..2..2

CROSSREFS

Sequence in context: A195222 A205165 A166222 * A247401 A264256 A236700

Adjacent sequences:  A203722 A203723 A203724 * A203726 A203727 A203728

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 05 2012

STATUS

approved

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Last modified June 23 07:38 EDT 2021. Contains 345395 sequences. (Running on oeis4.)