A274064 Number of nX3 0..2 arrays with no three equal values forming an isosceles right triangle, and new values introduced in 0..2 order.

5, 50, 264, 435, 546, 1209, 3272, 8412, 20634, 52751, 137707, 362923, 962095, 2559621, 6811807, 18145756, 48384429, 129108567, 344635575, 920181094, 2457266397, 6562691188, 17528571958, 46820546020, 125067069103, 334088127067

Offset

1,1

Comments

Column 3 of A274065.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -19*a(n-2) +26*a(n-3) -9*a(n-4) -55*a(n-5) +156*a(n-6) -233*a(n-7) +196*a(n-8) +46*a(n-9) -418*a(n-10) +768*a(n-11) -848*a(n-12) +431*a(n-13) +281*a(n-14) -1061*a(n-15) +1365*a(n-16) -1061*a(n-17) +405*a(n-18) +443*a(n-19) -737*a(n-20) +805*a(n-21) -537*a(n-22) +119*a(n-23) -34*a(n-24) -224*a(n-25) +132*a(n-26) -105*a(n-27) +130*a(n-28) +8*a(n-29) +83*a(n-30) +2*a(n-31) -31*a(n-32) +9*a(n-33) -57*a(n-34) +5*a(n-35) +7*a(n-36) -2*a(n-37) +10*a(n-38) -2*a(n-40) for n>49

Example

Some solutions for n=4
..0..1..1. .0..1..2. .0..1..2. .0..1..1. .0..0..1. .0..1..2. .0..1..2
..2..2..0. .0..1..2. .1..0..2. .0..2..2. .2..1..0. .1..2..0. .0..1..2
..0..1..2. .0..1..2. .1..2..1. .2..1..0. .2..1..0. .0..0..1. .2..0..0
..0..1..2. .2..0..0. .2..0..0. .0..0..2. .2..1..0. .2..2..1. .1..2..1

Crossrefs

Cf. A274065.

Sequence in context: A281606 A061160 A226548 * A302695 A064054 A301821

Adjacent sequences: A274061 A274062 A274063 * A274065 A274066 A274067

Keyword

nonn

Author

R. H. Hardin, Jun 09 2016

Status

approved