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A201380 Number of nX4 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other 1
1, 7, 27, 121, 483, 1751, 5694, 16870, 46014, 116842, 278837, 630353, 1358517, 2806843, 5584567, 10741640, 20039166, 36362252, 64333159, 111214759, 188207532, 312302096, 508868575, 815256003, 1285706310, 1998034336, 3062559792 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A201384

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +a(n-2) -20*a(n-3) +4*a(n-4) +52*a(n-5) +6*a(n-6) -112*a(n-7) -64*a(n-8) +196*a(n-9) +174*a(n-10) -228*a(n-11) -325*a(n-12) +148*a(n-13) +457*a(n-14) -457*a(n-16) -148*a(n-17) +325*a(n-18) +228*a(n-19) -174*a(n-20) -196*a(n-21) +64*a(n-22) +112*a(n-23) -6*a(n-24) -52*a(n-25) -4*a(n-26) +20*a(n-27) -a(n-28) -4*a(n-29) +a(n-30)

EXAMPLE

Some solutions for n=9

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A048711 A249184 A118101 * A327623 A269070 A147996

Adjacent sequences:  A201377 A201378 A201379 * A201381 A201382 A201383

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 30 2011

STATUS

approved

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Last modified January 24 19:03 EST 2022. Contains 350565 sequences. (Running on oeis4.)