A229533 Number of defective 3-colorings of an n X 7 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

96, 1152, 33136, 833108, 19965136, 463976296, 10551803060, 236116939092, 5217401278606, 114127296405752, 2475805502937114, 53336234719117660, 1142245246463418470, 24337955479727680972, 516277243352142049170

Offset

1,1

Comments

Column 7 of A229534.

Links

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

Formula

Empirical: a(n) = 82*a(n-1) - 2779*a(n-2) + 50254*a(n-3) - 514677*a(n-4) + 2743554*a(n-5) - 2950648*a(n-6) - 48609034*a(n-7) + 245316224*a(n-8) - 89432156*a(n-9) - 2444502643*a(n-10) + 5704858072*a(n-11) + 7254972423*a(n-12) - 41716035658*a(n-13) + 18035762825*a(n-14) + 132606292618*a(n-15) - 178302990168*a(n-16) - 171928095488*a(n-17) + 491624257303*a(n-18) - 70904009836*a(n-19) - 621985038704*a(n-20) + 477824279660*a(n-21) + 281672875548*a(n-22) - 522707244404*a(n-23) + 119050620101*a(n-24) + 190519380818*a(n-25) - 140300285301*a(n-26) + 10246766686*a(n-27) + 24709126330*a(n-28) - 9478840252*a(n-29) - 368991021*a(n-30) + 964165580*a(n-31) - 172681320*a(n-32) - 20355920*a(n-33) + 9906636*a(n-34) - 719568*a(n-35) - 120720*a(n-36) + 22272*a(n-37) - 1024*a(n-38) for n > 39.

Example

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

Crossrefs

Cf. A229534.

Sequence in context: A182684 A232918 A187165 * A282017 A263567 A223292

Adjacent sequences: A229530 A229531 A229532 * A229534 A229535 A229536

Keyword

nonn

Author

R. H. Hardin, Sep 25 2013

Status

approved