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A202731 Number of nX4 nonnegative integer arrays each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it) and the lower right element equal to min(n,4)-1 1
1, 4, 14, 12, 462, 10296, 184848, 3010632, 46867734, 714602604, 10794487872, 162393700356, 2438841262254, 36600358759728, 549110847639168, 8237281198316304, 123562802759399382, 1853462610207713988 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A202735

LINKS

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

FORMULA

Empirical: a(n) = 36*a(n-1) -492*a(n-2) +3418*a(n-3) -13215*a(n-4) +28650*a(n-5) -32500*a(n-6) +15000*a(n-7) for n>10

EXAMPLE

Some solutions for n=4

..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

..0..0..1..1....0..0..1..1....0..1..1..1....0..0..0..1....0..1..1..1

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

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

CROSSREFS

Sequence in context: A018853 A218257 A193377 * A098363 A276703 A170847

Adjacent sequences:  A202728 A202729 A202730 * A202732 A202733 A202734

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 23 2011

STATUS

approved

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Last modified November 19 02:01 EST 2018. Contains 317332 sequences. (Running on oeis4.)