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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
1, 14, 185, 3904, 98467, 3050721, 108395401, 4339928301, 188551345053, 8682042687375, 414695014034677, 20274597802217045, 1005296894185682274, 50276641088590089228, 2527391863873547297914, 127445954014211525204603 (list; graph; refs; listen; history; text; internal format)
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 A275084

Adjacent sequences: A198647 A198648 A198649 * A198651 A198652 A198653

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 28 2011

STATUS

approved

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Last modified February 8 08:32 EST 2023. Contains 360136 sequences. (Running on oeis4.)