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A223865 Number of 2Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 4
10, 100, 684, 3526, 14751, 52591, 165212, 468292, 1218812, 2951732, 6721028, 14507390, 29883426, 59065484, 112531519, 207449471, 371243434, 646728936, 1099377792, 1827431562, 2975775445, 4754716769, 7465089922, 11531438986 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A223864

LINKS

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

FORMULA

Empirical: a(n) = (1/19160064)*n^12 + (1/456192)*n^11 + (2287/43545600)*n^10 + (215/290304)*n^9 + (3991/580608)*n^8 + (2369/53760)*n^7 + (8836141/43545600)*n^6 + (136571/207360)*n^5 + (654599/435456)*n^4 + (865283/362880)*n^3 + (289699/103950)*n^2 + (39143/27720)*n + 1

EXAMPLE

Some solutions for n=3

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

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

CROSSREFS

Sequence in context: A092707 A224263 A223920 * A293890 A218269 A224348

Adjacent sequences:  A223862 A223863 A223864 * A223866 A223867 A223868

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 28 2013

STATUS

approved

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Last modified November 29 18:41 EST 2021. Contains 349416 sequences. (Running on oeis4.)