The On-Line Encyclopedia of Integer Sequences (OEIS)

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A224373

Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing
(history; published version)

#4 by R. H. Hardin at Fri Apr 05 07:10:53 EDT 2013

STATUS

editing

approved

#3 by R. H. Hardin at Fri Apr 05 07:10:49 EDT 2013

LINKS

R. H. Hardin, <a href="/A224373/b224373.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Fri Apr 05 07:10:34 EDT 2013

NAME

allocated for R. H. Hardin

Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing

DATA

239, 10511, 227112, 3518302, 48166179, 644368221, 8684742989, 118171436342, 1617034882854, 22180823169132, 304470584215636, 4179566726619035, 57366850907237080, 787294489483452053, 10803851806245324942

OFFSET

1,1

COMMENTS

Column 7 of A224374

FORMULA

Empirical: a(n) = 36*a(n-1) -505*a(n-2) +3667*a(n-3) -15271*a(n-4) +38113*a(n-5) -59621*a(n-6) +53813*a(n-7) -125335*a(n-8) +657330*a(n-9) -1326014*a(n-10) +2644047*a(n-11) +3529521*a(n-12) +7803900*a(n-13) +959690*a(n-14) +28175350*a(n-15) +27269532*a(n-16) +18725976*a(n-17) +1826832*a(n-18) +1263744*a(n-19) for n>24

EXAMPLE

Some solutions for n=3

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Apr 05 2013

STATUS

approved

editing

#1 by R. H. Hardin at Fri Apr 05 07:02:01 EDT 2013

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved