A223508 Petersen graph (3,1) coloring a rectangular array: number of 5Xn 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0.

1296, 4913, 266419, 11148439, 515473927, 23328902821, 1065016901935, 48530437419865, 2213179954647275, 100913208621796747, 4601629002961862345, 209830596880154645775, 9568174653385280051091, 436303604544116583704607

Offset: 1

Author

R. H. Hardin Mar 21 2013

Keywords

• nonn

Comments

Row 5 of A223504

Examples

			Some solutions for n=3
..0..2..0....0..2..1....0..1..0....0..1..2....0..2..1....0..1..0....0..1..0
..1..2..1....1..2..5....0..2..0....4..1..0....0..2..0....2..1..4....0..3..4
..1..2..1....0..2..1....1..2..5....2..1..2....0..2..1....2..1..2....4..3..5
..1..2..0....5..2..5....5..2..5....4..5..4....0..2..0....2..5..4....0..3..0
..5..2..1....5..2..5....5..3..5....3..5..4....5..2..0....4..5..4....0..3..4
		

Links

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

Formula

Empirical: a(n) = 71*a(n-1) -1025*a(n-2) -14582*a(n-3) +432132*a(n-4) -1235038*a(n-5) -44254492*a(n-6) [phone]*a(n-7) [phone]*a(n-8) -24108628735*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -3015474264116*a(n-12) -7468946258468*a(n-13) [phone]*a(n-14) -19748204982172*a(n-15) -929976166077118*a(n-16) +1623691507031261*a(n-17) +6877758733216211*a(n-18) -21986547259066956*a(n-19) -25977258135841984*a(n-20) +164780020970184872*a(n-21) -5445523483934936*a(n-22) -789421436773000211*a(n-23) +617827785709579554*a(n-24) +2499061275173634960*a(n-25) -3608966242372275158*a(n-26) -5054385737333805739*a(n-27) +11913328661514326768*a(n-28) +5266973549905528132*a(n-29) -26083920461220425468*a(n-30) +2323512355364237888*a(n-31) +39474091164345616200*a(n-32) -18570564930623297944*a(n-33) -41144392421727062733*a(n-34) +34192277387530560380*a(n-35) +27957670701203653789*a(n-36) -37366923751687843813*a(n-37) -9816688145756259804*a(n-38) +27153007122450867062*a(n-39) -1474941418773154672*a(n-40) -13352938311422813034*a(n-41) +3795826701250077433*a(n-42) +4315925800274009339*a(n-43) -2185410858126306921*a(n-44) -825385995637082366*a(n-45) +704751836109259081*a(n-46) +54959242071750150*a(n-47) -139309166655413192*a(n-48) +12738975912252902*a(n-49) +16584925179127396*a(n-50) -3592712328375964*a(n-51) -1071918437017524*a(n-52) [phone]*a(n-53) [phone]*a(n-54) -20197202519736*a(n-55) [phone]*a(n-56) [phone]*a(n-57) -42448453056*a(n-58) -3476245248*a(n-59) [phone]*a(n-60) for n>61