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A265977 Number of nX3 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself. 1
5, 117, 1267, 13894, 262258, 3699605, 50337359, 795864688, 11746148349, 169677283808, 2554251942699, 37889834001861, 557236694392506, 8286488663335210, 122880923068301625, 1816766865705440009 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 24 22:46 EDT 2021. Contains 347651 sequences. (Running on oeis4.)