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A223957 Number of nX4 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing 3
35, 805, 12311, 176893, 2575955, 37844037, 559416917, 8299429418, 123370738379, 1835707326614, 27327510542054, 406907786331737, 6059551623581467, 90242115362238750, 1343972755503334184, 20016039213440972353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223961

LINKS

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

FORMULA

Empirical: a(n) = 35*a(n-1) -411*a(n-2) +1521*a(n-3) +4495*a(n-4) -33893*a(n-5) -76333*a(n-6) +769422*a(n-7) -657978*a(n-8) -4892638*a(n-9) +11892141*a(n-10) +26545075*a(n-11) -212154687*a(n-12) +180127811*a(n-13) +844199306*a(n-14) -1964869675*a(n-15) -925267902*a(n-16) +18361374116*a(n-17) -28421809002*a(n-18) +14606204778*a(n-19) +43447425250*a(n-20) +45550238994*a(n-21) -206541843216*a(n-22) +420735920152*a(n-23) +123206624124*a(n-24) -263534650788*a(n-25) -263768865528*a(n-26) +1543560996888*a(n-27) +154734998544*a(n-28) -494508716208*a(n-29) -124707094560*a(n-30) +893424774528*a(n-31) +244581703200*a(n-32) +20427292800*a(n-33) +536699520*a(n-34) for n>36

EXAMPLE

Some solutions for n=3

..0..0..0..2....0..2..2..2....1..2..2..3....0..0..1..1....0..0..1..3

..0..0..1..3....0..1..2..3....0..2..2..3....1..1..3..3....0..1..1..3

..0..1..2..3....0..3..3..3....0..2..2..3....0..3..3..3....0..1..3..3

CROSSREFS

Sequence in context: A226941 A249883 A249884 * A109508 A267834 A001724

Adjacent sequences:  A223954 A223955 A223956 * A223958 A223959 A223960

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved

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Last modified November 27 16:35 EST 2021. Contains 349394 sequences. (Running on oeis4.)