A269140 Number of nX5 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

756, 59916, 3924212, 240647068, 14197016484, 815458664276, 45920055321732, 2546667557472940, 139535357045338964, 7570570235882777884, 407418697407850105348, 21776207050517593512788, 1157149832292866826527492

Offset

1,1

Comments

Column 5 of A269143.

Links

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

Formula

Empirical: a(n) = 134*a(n-1) -6403*a(n-2) +137212*a(n-3) -1537987*a(n-4) +10006762*a(n-5) -41364815*a(n-6) +107588656*a(n-7) -111196320*a(n-8) -399050332*a(n-9) +2108507944*a(n-10) -4098003684*a(n-11) +445179883*a(n-12) +18009896226*a(n-13) -42207232033*a(n-14) +12581717548*a(n-15) +122544940860*a(n-16) -203283873760*a(n-17) -79843687188*a(n-18) +508551706160*a(n-19) -240288894385*a(n-20) -648319426210*a(n-21) +662670918703*a(n-22) +480938145704*a(n-23) -858808887300*a(n-24) -176689259732*a(n-25) +734283407564*a(n-26) -39751157620*a(n-27) -450104705459*a(n-28) +101139044518*a(n-29) +200718146529*a(n-30) -72282159428*a(n-31) -63674380919*a(n-32) +31546829386*a(n-33) +13183985923*a(n-34) -9057688788*a(n-35) -1275648164*a(n-36) +1571020336*a(n-37) -67398016*a(n-38) -125671104*a(n-39) +17151168*a(n-40) +3564288*a(n-41) -665856*a(n-42) for n>45

Example

Some solutions for n=2
..0..1..3..3..3. .2..3..2..3..2. .3..1..1..3..2. .2..3..1..0..0
..1..3..2..2..3. .0..2..3..3..2. .1..0..2..3..2. .1..3..1..0..0

Crossrefs

Cf. A269143.

Sequence in context: A004048 A037191 A269191 * A269198 A269106 A035853

Adjacent sequences: A269137 A269138 A269139 * A269141 A269142 A269143

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved