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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.

%I A209099 #7 Jul 22 2025 21:38:26
%S A209099 365,165632,81254376,40556341276,20321585350224,10191444894367900,
%T A209099 5112092569118325704,2564363579403254284620,1286364276359163718904168,
%U A209099 645281146190219629386029844,323693585213812977261192741044
%N 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.
%C A209099 Column 7 of A209100
%H A209099 R. H. Hardin, <a href="/A209099/b209099.txt">Table of n, a(n) for n = 1..210</a>
%F A209099 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
%e A209099 Some solutions for n=4
%e A209099 ..0..0..0..0..0..0..0....0..0..0..1..1..2..2....0..0..1..0..0..1..2
%e A209099 ..1..2..1..1..2..1..2....1..2..0..2..1..0..1....1..0..1..1..0..2..0
%e A209099 ..1..0..2..1..2..1..2....1..0..1..2..0..1..2....0..1..0..1..0..2..1
%e A209099 ..2..1..2..0..2..0..2....2..0..2..0..2..1..2....1..2..2..0..2..0..0
%K A209099 nonn
%O A209099 1,1
%A A209099 _R. H. Hardin_ Mar 05 2012