The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 1

%I #4 Mar 21 2013 04:46:36

%S 1296,4913,266419,11148439,515473927,23328902821,1065016901935,

%T 48530437419865,2213179954647275,100913208621796747,

%U 4601629002961862345,209830596880154645775,9568174653385280051091,436303604544116583704607

%N 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

%C Row 5 of A223504

%H R. H. Hardin, <a href="/A223508/b223508.txt">Table of n, a(n) for n = 1..210</a>

%F 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) +375953458*a(n-7) +1077097488*a(n-8) -24108628735*a(n-9) +43813966193*a(n-10) +660782580981*a(n-11) -3015474264116*a(n-12) -7468946258468*a(n-13) +72313665742943*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) +385473088083924*a(n-53) +24628625488560*a(n-54) -20197202519736*a(n-55) +763271541072*a(n-56) +473574597408*a(n-57) -42448453056*a(n-58) -3476245248*a(n-59) +407586816*a(n-60) for n>61

%e Some solutions for n=3

%e ..0..2..0....0..2..1....0..1..0....0..1..2....0..2..1....0..1..0....0..1..0

%e ..1..2..1....1..2..5....0..2..0....4..1..0....0..2..0....2..1..4....0..3..4

%e ..1..2..1....0..2..1....1..2..5....2..1..2....0..2..1....2..1..2....4..3..5

%e ..1..2..0....5..2..5....5..2..5....4..5..4....0..2..0....2..5..4....0..3..0

%e ..5..2..1....5..2..5....5..3..5....3..5..4....5..2..0....4..5..4....0..3..4

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 26 03:59 EDT 2024. Contains 372807 sequences. (Running on oeis4.)