A229539 Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

0, 1188, 11184, 185808, 2451728, 34811238, 463976296, 6218438820, 81495355792, 1062456887518, 13702092455116, 175680546862100, 2237595650683400, 28361247430082330, 357801016917216768, 4496495606303951624

Offset

1,2

Comments

Row 6 of A229534.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) + 182*a(n-2) - 1820*a(n-3) - 15113*a(n-4) + 101664*a(n-5) + 646022*a(n-6) - 3003324*a(n-7) -1 5725808*a(n-8) + 55305760*a(n-9) + 234926070*a(n-10) - 698528578*a(n-11) - 2270736611*a(n-12) + 6320752450*a(n-13) + 14600825558*a(n-14) - 41434331996*a(n-15) - 62768577651*a(n-16) + 196263429930*a(n-17) + 176943063476*a(n-18) - 669462409316*a(n-19) - 305019512324*a(n-20) + 1647405492614*a(n-21) + 230358934675*a(n-22) - 2942270801898*a(n-23) + 243588718325*a(n-24) + 3841770422896*a(n-25) - 923967990222*a(n-26) - 3689384232910*a(n-27) + 1300617284437*a(n-28) + 2614259101122*a(n-29) - 1127033659748*a(n-30) - 1366254718948*a(n-31) + 660843537364*a(n-32) + 524090586634*a(n-33) - 269727615782*a(n-34) - 146010681184*a(n-35) + 76928224259*a(n-36) + 28983533038*a(n-37) - 15160113967*a(n-38) - 3964319226*a(n-39) + 2009807783*a(n-40) + 352152984*a(n-41) -1 70267256*a(n-42) - 18138336*a(n-43) + 8296524*a(n-44) + 408240*a(n-45) - 176400*a(n-46) for n > 48.

Example

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

Crossrefs

Cf. A229534.

Sequence in context: A342066 A153378 A205230 * A233687 A233640 A252643

Adjacent sequences: A229536 A229537 A229538 * A229540 A229541 A229542

Keyword

nonn

Author

R. H. Hardin, Sep 25 2013

Status

approved