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A224004 Number of 6Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing 1
729, 20216, 117386, 388598, 984595, 2160036, 4368458, 8412641, 15703623, 28693082, 51589943, 91524689, 160402902, 277798382, 475383309, 803588211, 1341439640, 2210851797, 3597065144, 5777447600, 9161521721, 14345876103 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A223999

LINKS

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

FORMULA

Empirical: a(n) = (1/3628800)*n^12 + (1/302400)*n^11 + (419/3628800)*n^10 + (223/120960)*n^9 + (35411/1209600)*n^8 + (20443/50400)*n^7 + (17616857/3628800)*n^6 + (6342323/120960)*n^5 + (821276033/1814400)*n^4 + (103253527/37800)*n^3 + (186412339/16800)*n^2 - (24901729/840)*n - 64275 for n>8

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

CROSSREFS

Sequence in context: A209508 A016758 A183809 * A232028 A203651 A036536

Adjacent sequences:  A224001 A224002 A224003 * A224005 A224006 A224007

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)