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A196726 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,4,0,3 for x=0,1,2,3,4 1
6, 101, 2025, 30971, 547874, 9376754, 155884161, 2642927522, 44901935948, 759934568782, 12869664286125, 217998199717188, 3691905169363581, 62529315118785567, 1059069284509026344, 17937180980623591659 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 3's

Column 5 of A196729

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) +99*a(n-2) +1441*a(n-3) +9542*a(n-4) +65340*a(n-5) +375237*a(n-6) +1283527*a(n-7) -3033844*a(n-8) -38745519*a(n-9) -43843108*a(n-10) +302033296*a(n-11) +391928176*a(n-12) -1957031993*a(n-13) -1631575573*a(n-14) +15853193792*a(n-15) +22009315053*a(n-16) -92735357332*a(n-17) -245935500390*a(n-18) -86252266496*a(n-19) +35130256366*a(n-20) +972260853374*a(n-21) +3276955967914*a(n-22) -6610716955874*a(n-23) -3525699233277*a(n-24) +65567179726380*a(n-25) -15722559067129*a(n-26) -114572567130619*a(n-27) +281819707107586*a(n-28) -42180488958937*a(n-29) -276357272239307*a(n-30) +596218335367780*a(n-31) -105577240614858*a(n-32) -615148787787340*a(n-33) +774952557949439*a(n-34) -270977886635686*a(n-35) -409786103321288*a(n-36) +894803816081140*a(n-37) -501563532236944*a(n-38) -84085834331876*a(n-39) +856139262759798*a(n-40) -512778230035747*a(n-41) +188441933273535*a(n-42) +338907502462032*a(n-43) -594272969260236*a(n-44) +446581290575878*a(n-45) +119041366608427*a(n-46) -501347912648361*a(n-47) +437989765858148*a(n-48) +179856505419600*a(n-49) -263898453871463*a(n-50) +185394293683331*a(n-51) +129885852292572*a(n-52) -77565539079531*a(n-53) +75493187658810*a(n-54) +42047007188453*a(n-55) -10185784471731*a(n-56) +20133457876007*a(n-57) +7243328031182*a(n-58) +934687323526*a(n-59) +3158316425239*a(n-60) +1070440379101*a(n-61) +298956128968*a(n-62) +194101359866*a(n-63) +135738438260*a(n-64) +4541615765*a(n-65) -1005336253*a(n-66) -950389008*a(n-67) +559575055*a(n-68) -457730683*a(n-69) -463176209*a(n-70) -205291389*a(n-71) -33500884*a(n-72) +3474684*a(n-73) -151612*a(n-74) -522331*a(n-75) -234699*a(n-76) +13407*a(n-77) +11219*a(n-78) +3256*a(n-79) +224*a(n-80)

EXAMPLE

Some solutions for n=4

..0..0..1..1..0....0..0..0..0..0....0..3..0..1..0....1..1..0..0..0

..3..0..0..0..0....0..3..3..0..1....0..0..0..1..0....0..0..0..0..0

..0..1..3..0..0....1..0..0..0..1....3..0..3..0..1....1..0..0..0..3

..0..1..0..3..0....1..0..3..0..0....0..1..1..0..1....1..0..0..3..0

CROSSREFS

Sequence in context: A012497 A012690 A196693 * A197066 A266683 A196960

Adjacent sequences:  A196723 A196724 A196725 * A196727 A196728 A196729

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 05 2011

STATUS

approved

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Last modified April 22 19:11 EDT 2021. Contains 343177 sequences. (Running on oeis4.)