A282156 Number of nX3 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 1, 884, 37560, 449234, 4930949, 45129433, 390165523, 3162500791, 24713889390, 186977339538, 1381411316900, 10004037615934, 71283461550273, 500987588246711, 3480142902681961, 23932311514960749, 163138923128023302

Offset

1,3

Comments

Column 3 of A282159.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +27*a(n-2) -276*a(n-3) -681*a(n-4) +2517*a(n-5) +10848*a(n-6) +8973*a(n-7) -30915*a(n-8) -113468*a(n-9) -246519*a(n-10) -508905*a(n-11) -365015*a(n-12) +2045778*a(n-13) +8208600*a(n-14) +16009592*a(n-15) +18148296*a(n-16) +3749892*a(n-17) -53257624*a(n-18) -190970592*a(n-19) -385072032*a(n-20) -489093664*a(n-21) -262640208*a(n-22) +427101792*a(n-23) +1482338048*a(n-24) +2604740544*a(n-25) +2876222208*a(n-26) +1038910656*a(n-27) -3432260736*a(n-28) -8318151936*a(n-29) -8221305088*a(n-30) -1081149696*a(n-31) +8601944064*a(n-32) +12265071616*a(n-33) +5392852992*a(n-34) -4092251136*a(n-35) -8009582592*a(n-36) -4627083264*a(n-37) +1100685312*a(n-38) +2357014528*a(n-39) +1361313792*a(n-40) +58245120*a(n-41) -230031360*a(n-42) -157483008*a(n-43) -42467328*a(n-44) -7077888*a(n-45) for n>49

Example

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

Crossrefs

Cf. A282159.

Sequence in context: A209089 A207131 A253507 * A318200 A295443 A261760

Adjacent sequences: A282153 A282154 A282155 * A282157 A282158 A282159

Keyword

nonn

Author

R. H. Hardin, Feb 07 2017

Status

approved