A265977 Number of nX3 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself.

5, 117, 1267, 13894, 262258, 3699605, 50337359, 795864688, 11746148349, 169677283808, 2554251942699, 37889834001861, 557236694392506, 8286488663335210, 122880923068301625, 1816766865705440009

Offset

1,1

Comments

Column 3 of A265981.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +45*a(n-2) +1738*a(n-3) +241*a(n-4) -25197*a(n-5) -495656*a(n-6) -795221*a(n-7) +9824295*a(n-8) +35904715*a(n-9) +85518738*a(n-10) -1045590082*a(n-11) -990640390*a(n-12) +8602945338*a(n-13) -23039489472*a(n-14) +105555033244*a(n-15) +64909267804*a(n-16) -1438654444136*a(n-17) +5711688188760*a(n-18) +1886646031184*a(n-19) +5397581395776*a(n-20) +94830679989552*a(n-21) -249706970454624*a(n-22) -160537012999616*a(n-23) +104471124991808*a(n-24) -2427195586795904*a(n-25) +2670154120634368*a(n-26) +277155463950336*a(n-27) -636551943144960*a(n-28) +2571429999009792*a(n-29) -3778468820090880*a(n-30) +4033571042287616*a(n-31) -2257178070351872*a(n-32) +455329837744128*a(n-33) -33761016152064*a(n-34) +5448728051712*a(n-35) for n>36

Example

Some solutions for n=4
..1..0..1....0..0..2....0..2..0....0..0..2....0..0..0....0..0..0....2..1..0
..0..6..1....0..0..3....2..0..2....0..0..3....2..2..3....0..6..1....3..0..3
..1..1..2....3..1..3....0..0..0....2..0..2....2..0..2....1..1..2....3..0..3
..1..0..2....2..0..2....2..0..2....1..2..0....0..1..2....1..0..1....0..1..1

Crossrefs

Cf. A265981.

Sequence in context: A319392 A268606 A006221 * A208387 A144998 A257865

Adjacent sequences: A265974 A265975 A265976 * A265978 A265979 A265980

Keyword

nonn

Author

R. H. Hardin, Dec 19 2015

Status

approved