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A166826 Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nonincreasing order. 1
0, 4, 49, 219, 666, 1636, 3499, 6783, 12212, 20748, 33637, 52459, 79182, 116220, 166495, 233503, 321384, 434996, 579993, 762907, 991234, 1273524, 1619475, 2040031, 2547484, 3155580, 3879629, 4736619, 5745334, 6926476, 8302791, 9899199 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

R. H. Hardin, Table of n, a(n) for n=1..44

FORMULA

Empirical: a(n)=(n^6+18*n^5+100*n^4-731*n^2+792*n-180)/180

EXAMPLE

All solutions for n=3

...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...2.1...2.1...2.1...2.1

...2.1...2.1...2.2...3.1...3.2...3.2...3.2...3.3...4.2...2.1...2.1...2.2...2.2

...3.4...4.3...4.3...4.2...3.4...4.2...4.4...4.2...4.3...3.4...4.3...3.4...4.3

------

...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1...2.1

...2.3...2.3...2.3...2.4...2.4...3.1...3.1...3.1...3.3...3.3...3.3...3.4...3.4

...2.4...4.3...4.4...3.3...3.4...3.4...4.1...4.4...3.4...4.3...4.4...3.4...4.4

------

...2.1...2.1...2.1...2.2...2.2...2.2...2.2...2.2...2.2...3.1...3.1...3.1...3.1

...4.1...4.3...4.3...3.1...3.1...3.1...3.2...3.3...4.1...3.1...3.2...3.2...3.2

...4.3...4.3...4.4...3.4...4.1...4.4...4.1...4.1...4.3...4.2...3.4...4.2...4.4

------

...3.1...3.1...3.1...3.1...3.2...3.2...3.2...3.2...3.3...4.1

...3.3...4.1...4.2...4.2...3.2...3.3...4.1...4.1...4.1...4.2

...4.2...4.2...4.2...4.4...4.1...4.1...4.1...4.4...4.2...4.3

CROSSREFS

Sequence in context: A092866 A041065 A166838 * A078187 A100256 A163944

Adjacent sequences:  A166823 A166824 A166825 * A166827 A166828 A166829

KEYWORD

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 21 2009

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Last modified February 15 21:23 EST 2012. Contains 205856 sequences.