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A203959 Number of (n+1)X3 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing 1
121, 851, 6586, 45307, 276516, 1512850, 7559349, 35013044, 152204393, 627158203, 2469369220, 9352485042, 34260022340, 121947287786, 423429014908, 1439022449239, 4800503801815, 15758894017829, 51018990415219 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A203965

LINKS

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

FORMULA

Empirical: a(n) = 22*a(n-1) -218*a(n-2) +1274*a(n-3) -4794*a(n-4) +11682*a(n-5) -16350*a(n-6) +3138*a(n-7) +38004*a(n-8) -79674*a(n-9) +61398*a(n-10) +35118*a(n-11) -127974*a(n-12) +113430*a(n-13) -3210*a(n-14) -85098*a(n-15) +79101*a(n-16) -21204*a(n-17) -17108*a(n-18) +19328*a(n-19) -8656*a(n-20) +1984*a(n-21) -192*a(n-22) for n>25

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A306452 A238250 A293588 * A211472 A223389 A243810

Adjacent sequences:  A203956 A203957 A203958 * A203960 A203961 A203962

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 08 2012

STATUS

approved

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Last modified July 16 09:13 EDT 2020. Contains 335784 sequences. (Running on oeis4.)