A206616 Number of (n+1)X4 0..2 arrays with every 2X3 or 3X2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order

580, 17708, 623933, 21744156, 752689692, 26135187233, 907138039901, 31481198946322, 1092605572922527, 37920364043243138, 1316071917345653001, 45675935634088583339, 1585240798851880252784, 55017771164461157130806

Offset

1,1

Comments

Column 3 of A206621

Links

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

Formula

Empirical: a(n) = 37*a(n-1) -193*a(n-2) +4563*a(n-3) -26088*a(n-4) +213640*a(n-5) -2282905*a(n-6) +369531*a(n-7) +59365865*a(n-8) -119009270*a(n-9) -262257680*a(n-10) +527736231*a(n-11) +509956986*a(n-12) +4324710244*a(n-13) -23957378452*a(n-14) +23663119594*a(n-15) +61337666069*a(n-16) -218666604368*a(n-17) +228502952174*a(n-18) -85986086663*a(n-19) +669360026328*a(n-20) -249999620622*a(n-21) -2694789374595*a(n-22) +3166056347472*a(n-23) -4527450747937*a(n-24) +1962425462655*a(n-25) +11253630720214*a(n-26) -6950215731178*a(n-27) -8616642530280*a(n-28) +5352219023522*a(n-29) +18282316992761*a(n-30) +7753157593402*a(n-31) -40511908730324*a(n-32) +4939025872094*a(n-33) -60334135799883*a(n-34) +58664554195163*a(n-35) -121534792363268*a(n-36) +68593536567899*a(n-37) +27074083178241*a(n-38) +308051491547424*a(n-39) -39985515053935*a(n-40) +39295040533166*a(n-41) +83890931412882*a(n-42) -250291599920068*a(n-43) -288209619371358*a(n-44) -184438801479103*a(n-45) +38926434092468*a(n-46) -59238978126303*a(n-47) +106546892950000*a(n-48) +214149676500053*a(n-49) +116025062188772*a(n-50) -2859191597854*a(n-51) +39054500953935*a(n-52) -17011926676243*a(n-53) -44327153317680*a(n-54) -19261125626130*a(n-55) -3153801775828*a(n-56) -4604960888768*a(n-57) -7048617640872*a(n-58) -822479585408*a(n-59) +2623759339152*a(n-60) +177002043136*a(n-61) -414732129408*a(n-62) +52243793472*a(n-63) -4364697600*a(n-64) -4934155008*a(n-65) +884524032*a(n-66) -33288192*a(n-67)

Example

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

Crossrefs

Sequence in context: A185605 A186784 A185606 * A172763 A172835 A172883

Adjacent sequences: A206613 A206614 A206615 * A206617 A206618 A206619

Keyword

nonn

Author

R. H. Hardin Feb 10 2012

Status

approved