A209099 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 or right-upward antidiagonal neighbors

365, 165632, 81254376, 40556341276, 20321585350224, 10191444894367900, 5112092569118325704, 2564363579403254284620, 1286364276359163718904168, 645281146190219629386029844, 323693585213812977261192741044

Offset

1,1

Comments

Column 7 of A209100

Links

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

Formula

Empirical: a(n) = 747*a(n-1) -147770*a(n-2) +13767161*a(n-3) -744653684*a(n-4) +26581250215*a(n-5) -695207333006*a(n-6) +14759817640723*a(n-7) -277760418691959*a(n-8) +4818498687693894*a(n-9) -76394118399894709*a(n-10) +1087272633889124267*a(n-11) -13781949249633025934*a(n-12) +154877879063702829937*a(n-13) -1530486551719044001957*a(n-14) +13153680955142056537404*a(n-15) -97057933858981232648357*a(n-16) +604009502946148839126239*a(n-17) -3089743014121715957566207*a(n-18) +12592151665916950689366304*a(n-19) -39754681120743615063631342*a(n-20) +95137341741302104796392420*a(n-21) -157046844212176575473908358*a(n-22) +62809971153790464358833542*a(n-23) +274260546953763747783830412*a(n-24) +2277040460294389799199241820*a(n-25) -16807391841560612463088548960*a(n-26) +24466406030744021830227782360*a(n-27) +110770739770822017548456685488*a(n-28) -642543090446277892020887588984*a(n-29) +1444810249046399642357458572124*a(n-30) -1039066917861135086134740251232*a(n-31) -1913422528148454603288634391464*a(n-32) +4382959090538650287480505632320*a(n-33) -420162726254070213081625756976*a(n-34) -10248211114440498997980265577120*a(n-35) +19099890867084707788818392405696*a(n-36) -18080871254247582043431141300352*a(n-37) +9535746814747597050087649329920*a(n-38) -7274842106933434445259296042752*a(n-39) +24412291656612509021701274945408*a(n-40) -50569037378415505084329421866496*a(n-41) +49696873654792766125531687784960*a(n-42) -3207612319613312961503561953792*a(n-43) -54507430486119902763301778119680*a(n-44) +71876543544959492841651732609024*a(n-45) -41832833113226911264957080469504*a(n-46) +2042228750173828354218287046656*a(n-47) +16335249204577141685269880815616*a(n-48) -14493780574353894230229010939904*a(n-49) +7212093727799570963008951418880*a(n-50) -2258955815739930161535614189568*a(n-51) +173106370971311909976634556416*a(n-52) +236456074127730455885312425984*a(n-53) -132988789131444826419830456320*a(n-54) +57804329724143223598793883648*a(n-55) -21600473043383892821286060032*a(n-56) -190229647086921884471656448*a(n-57) +3407643142423947053302284288*a(n-58) -1076075759469831874666299392*a(n-59) +124348221639171208497856512*a(n-60) -2055059748711593966305280*a(n-61) -370952494107253014528000*a(n-62) for n>65

Example

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

Crossrefs

Sequence in context: A275351 A241376 A208566 * A233017 A233081 A209106

Adjacent sequences: A209096 A209097 A209098 * A209100 A209101 A209102

Keyword

nonn

Author

R. H. Hardin Mar 05 2012

Status

approved