A240780 Number of nX5 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.
1, 9, 97, 959, 10150, 106411, 1120383, 11791412, 124095989, 1306056075, 13745692417, 144667727920, 1522567835402, 16024396462730, 168650144696133, 1774973019338383, 18680856897784860, 196608292474782756
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..1..1..0..1....0..1..0..1..1....0..1..0..1..0....0..1..0..1..0 ..0..1..1..0..1....1..0..1..1..1....1..0..1..0..0....1..0..1..0..1 ..0..1..1..0..0....1..0..1..1..1....1..1..0..0..1....1..1..0..0..1 ..1..0..1..0..0....0..1..0..1..0....1..1..0..1..0....0..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 11*a(n-1) +7*a(n-2) -123*a(n-3) -100*a(n-4) +564*a(n-5) +1376*a(n-6) -850*a(n-7) -2574*a(n-8) -15069*a(n-9) -48432*a(n-10) +116629*a(n-11) +324534*a(n-12) -546638*a(n-13) -1305652*a(n-14) +1415839*a(n-15) +2861430*a(n-16) -181783*a(n-17) +1142736*a(n-18) -3485531*a(n-19) +103541*a(n-20) +3757015*a(n-21) -3932650*a(n-22) -2493412*a(n-23) +1567853*a(n-24) +1326412*a(n-25) -3258442*a(n-26) -317605*a(n-27) -4294565*a(n-28) -451364*a(n-29) -983122*a(n-30) +1528646*a(n-31) +4998901*a(n-32) +2015845*a(n-33) -351008*a(n-34) +1590161*a(n-35) +241188*a(n-36) -1593888*a(n-37) -938771*a(n-38) -106281*a(n-39) +189935*a(n-40) +114894*a(n-41) -8940*a(n-42) -15519*a(n-43) +17746*a(n-44) +13164*a(n-45) -7056*a(n-46) -7716*a(n-47) +20*a(n-48) +1377*a(n-49) +35*a(n-50) -3*a(n-51) +38*a(n-52) -8*a(n-53) -4*a(n-54)
Comments