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

1,2

Comments

Column 5 of A240783

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)

Example

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

Crossrefs

Sequence in context: A069621 A284668 A232229 * A236672 A155699 A230620

Adjacent sequences: A240777 A240778 A240779 * A240781 A240782 A240783

Keyword

nonn

Author

R. H. Hardin, Apr 12 2014

Status

approved