A197066 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4

6, 101, 2026, 33407, 645970, 11800402, 211057159, 3846342121, 70050139103, 1273134867769, 23158212416004, 421168937252570, 7658668692237200, 139281021815759142, 2532960317909556863, 46063788501768631565

Offset

1,1

Comments

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

Column 5 of A197069

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +117*a(n-2) +1827*a(n-3) +12046*a(n-4) +90682*a(n-5) +610722*a(n-6) +3223887*a(n-7) +3514519*a(n-8) -49610404*a(n-9) -253882910*a(n-10) -424541452*a(n-11) +1452188449*a(n-12) +7184230048*a(n-13) +8339922555*a(n-14) -1533988177*a(n-15) +3784098180*a(n-16) +87777093287*a(n-17) -775543680318*a(n-18) -5017636298926*a(n-19) -9351433177551*a(n-20) +3769836174899*a(n-21) +46402480266212*a(n-22) +56154618358416*a(n-23) -79359671497682*a(n-24) +9996412587806*a(n-25) +593624203287533*a(n-26) +1255293629382360*a(n-27) +1177679219241233*a(n-28) -7058122679991742*a(n-29) +225329453930199*a(n-30) +10229057372329832*a(n-31) +5370818927971954*a(n-32) -35977406448948048*a(n-33) +891369615156941*a(n-34) +97278979294949851*a(n-35) -135391727085093015*a(n-36) -190982824244384735*a(n-37) +462065849040763355*a(n-38) -73063517372166156*a(n-39) -520466499523491269*a(n-40) +398448491557389692*a(n-41) +85726470633192941*a(n-42) -373943463136713485*a(n-43) +468426835573725018*a(n-44) +42562150821622099*a(n-45) -483454946837177047*a(n-46) -134350073440291988*a(n-47) +379340469793981552*a(n-48) +167815024117882705*a(n-49) -320226849555717455*a(n-50) -52023533165584267*a(n-51) +235328943178368568*a(n-52) -47513211137705974*a(n-53) +47684146875127498*a(n-54) -148985004382098876*a(n-55) -53075542935623472*a(n-56) +186727207628806084*a(n-57) -129298493571766072*a(n-58) +25814258005090492*a(n-59) +47806588781039971*a(n-60) -86486774335927827*a(n-61) +45981093570201951*a(n-62) -5141303508687565*a(n-63) -4100134694510425*a(n-64) +14052318927003560*a(n-65) -7910712074562709*a(n-66) +2628928726122174*a(n-67) -70371201601118*a(n-68) -1690275368492860*a(n-69) +322372484943165*a(n-70) +3848411952656*a(n-71) -82838571635738*a(n-72) +53260132962520*a(n-73) +22715509833073*a(n-74) +41506563649848*a(n-75) -21246567866878*a(n-76) +4125180781230*a(n-77) -428339751720*a(n-78) -269163447881*a(n-79) -547558827122*a(n-80) +31358057305*a(n-81) +229410971378*a(n-82) +7439812696*a(n-83) -6780592005*a(n-84) -9621179871*a(n-85) +928543199*a(n-86) +131227476*a(n-87) +72124759*a(n-88) -6282752*a(n-89) -1436573*a(n-90) +122621*a(n-91) -24390*a(n-92) +1038*a(n-93) -16*a(n-94) +32*a(n-95) for n>96

Example

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

Crossrefs

Sequence in context: A012690 A196693 A196726 * A266683 A196960 A218462

Adjacent sequences: A197063 A197064 A197065 * A197067 A197068 A197069

Keyword

nonn

Author

R. H. Hardin Oct 09 2011

Status

approved