A208257 Number of nX7 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

365, 393216, 415737216, 439026252912, 463586569433280, 489518751475118880, 516901401841519506624, 545815772261840889783840, 576347550907375513255891248, 608587212579607572737693478288

Offset

1,1

Comments

Column 7 of A208258

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 1373*a(n-1) -382385*a(n-2) +54747930*a(n-3) -5050986386*a(n-4) +332267679041*a(n-5) -16472142082703*a(n-6) +636007583672478*a(n-7) -19508251954601454*a(n-8) +480569383283952657*a(n-9) -9546208348531626993*a(n-10) +152598952268814061851*a(n-11) -1946846244225175080346*a(n-12) +19518911243309328077698*a(n-13) -150002896733353526035184*a(n-14) +849776274453519925228352*a(n-15) -3327166677806732426576264*a(n-16) +7899544532604413646690344*a(n-17) -6508673827964553701633600*a(n-18) -20940104457639861466791296*a(n-19) +72463799516214011378881024*a(n-20) -61429017906552923870936064*a(n-21) -129536619155578798140518400*a(n-22) +380737956559758296779800576*a(n-23) -211491273596407625450717184*a(n-24) -649598231455057371522924544*a(n-25) +1411628961483792374550233088*a(n-26) -535856510128456063711707136*a(n-27) -2479363142583076923579039744*a(n-28) +5970652384046936507902066688*a(n-29) -7499573050858256420655071232*a(n-30) +6280307951272279750928760832*a(n-31) -3675985493399257320121171968*a(n-32) +1481320042982141475269115904*a(n-33) -383743024338594997911683072*a(n-34) +54171200367877184095780864*a(n-35) -2546711369956156422225920*a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A233017 A233081 A209106 * A223132 A199654 A241113

Adjacent sequences: A208254 A208255 A208256 * A208258 A208259 A208260

Keyword

nonn

Author

R. H. Hardin Feb 24 2012

Status

approved