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
Keywords
Examples
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
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
Comments