A208412 Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

51, 43947, 42012698, 40595679634, 39216100214432, 37884515848419250, 36598079445605633928, 35355330691346872093058, 34154781271350993450819306, 32994998532336627831187653984, 31874598155583932774268114331038

Offset

1,1

Comments

Row 5 of A208408

Links

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

Formula

Empirical: a(n) = 846*a(n-1) +113055*a(n-2) +2929874*a(n-3) -109060673*a(n-4) -3622824692*a(n-5) +65097142029*a(n-6) +1105024278376*a(n-7) -27292434557458*a(n-8) +142062088508752*a(n-9) +377948844669748*a(n-10) -4808916389539500*a(n-11) +4645157287758163*a(n-12) +52333669611524778*a(n-13) -120575382680010711*a(n-14) -210993332876225106*a(n-15) +842794866719196543*a(n-16) +23751649411434324*a(n-17) -2346267769038080739*a(n-18) +1537588828184004828*a(n-19) +2261528701157029077*a(n-20) -2074597977196235322*a(n-21) -1044955823075183619*a(n-22) +1037909226733865982*a(n-23) +266013779180313879*a(n-24) -226004933703781188*a(n-25) -35288827553849769*a(n-26) +20872926611932608*a(n-27) +1881175972889916*a(n-28) -620089737873840*a(n-29) for n>32

Example

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

Crossrefs

Sequence in context: A255832 A208198 A208405 * A198904 A238567 A198251

Adjacent sequences: A208409 A208410 A208411 * A208413 A208414 A208415

Keyword

nonn

Author

R. H. Hardin, Feb 26 2012

Status

approved