A198650 Number of nX3 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

1, 14, 185, 3904, 98467, 3050721, 108395401, 4339928301, 188551345053, 8682042687375, 414695014034677, 20274597802217045, 1005296894185682274, 50276641088590089228, 2527391863873547297914, 127445954014211525204603

Offset

1,2

Comments

Column 3 of A198654

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -821*a(n-2) -56271*a(n-3) +817404*a(n-4) +13719085*a(n-5) -161766404*a(n-6) -1839166478*a(n-7) +11363879777*a(n-8) +136010514708*a(n-9) -222894443262*a(n-10) -5199979392713*a(n-11) -6868325855133*a(n-12) +95179670938610*a(n-13) +369147874355532*a(n-14) -533026096548998*a(n-15) -6205097064740219*a(n-16) -8613391027369699*a(n-17) +42546652202736078*a(n-18) +169488793960929274*a(n-19) +26312768258696277*a(n-20) -1117495734214818564*a(n-21) -2324631994223480764*a(n-22) +1841678618579353433*a(n-23) +14678560285037056763*a(n-24) +16621475447385417884*a(n-25) -31512118736308477362*a(n-26) -108345152296982309384*a(n-27) -58218904915144342769*a(n-28) +238284037084533015029*a(n-29) +494112714724725985160*a(n-30) +83715645458904165782*a(n-31) -1046324352895906877805*a(n-32) -1682028823689223005448*a(n-33) -212054604890751854958*a(n-34) +3225128988475014814913*a(n-35) +5446552012301879705645*a(n-36) +1849700799056432967390*a(n-37) -8564584368202056735468*a(n-38) -16799593970537096861474*a(n-39) -6627276705987666615893*a(n-40) +24254079035081982103683*a(n-41) +42677642940921065893558*a(n-42) +8202157621254541156974*a(n-43) -62708452846991831276393*a(n-44) -82603416915306848302916*a(n-45) +10183617385951801505648*a(n-46) +121515459258649752469039*a(n-47) +100274939434519471128670*a(n-48) -48810733223347271082093*a(n-49) -154428754759727103485353*a(n-50) -67481826333440625909633*a(n-51) +90561617628975594540533*a(n-52) +107481511597170027775102*a(n-53) +7557656107771488311160*a(n-54) -71090863635528541203792*a(n-55) -38001596373722485470784*a(n-56) +21349925755387025519580*a(n-57) +18182235601850568334776*a(n-58) +2896440117027668706336*a(n-59) -6198133961733830403848*a(n-60) -606477045166747013360*a(n-61) +1583209521774878300176*a(n-62) -1505421146617143826080*a(n-63) +491507055481101027792*a(n-64) -28006796237834041056*a(n-65) +13190983794767505312*a(n-66) +604528701099503616*a(n-67) +407163173626382976*a(n-68) +3069878917501440*a(n-69)

Example

Some solutions with all values 0 to 6 for n=5
..0..0..1....0..0..1....0..1..2....0..1..1....0..1..1....0..0..1....0..0..0
..2..2..1....2..3..1....0..1..2....0..2..2....0..2..2....2..2..1....1..1..2
..3..4..5....2..3..3....3..3..4....3..4..5....3..3..4....3..4..5....3..3..2
..3..4..5....4..5..6....5..6..4....3..4..5....5..6..4....3..4..5....4..5..6
..6..6..5....4..5..6....5..6..4....3..6..6....5..6..4....3..6..6....4..5..6

Crossrefs

Sequence in context: A263384 A198703 A198622 * A198657 A055759 A368702

Adjacent sequences: A198647 A198648 A198649 * A198651 A198652 A198653

Keyword

nonn

Author

R. H. Hardin Oct 28 2011

Status

approved