A236741 Number of (n+1)X(3+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal

833, 7377, 68839, 810039, 9665961, 119169209, 1475983975, 18374935939, 229046649189, 2857763330357, 35666812500699, 445227947712783, 5558171962593453, 69390210334264145, 866306434183488675

Offset

1,1

Comments

Column 3 of A236746

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -236*a(n-2) -530*a(n-3) +16058*a(n-4) -44099*a(n-5) -359428*a(n-6) +2037666*a(n-7) +2641959*a(n-8) -38207537*a(n-9) +26566108*a(n-10) +394980672*a(n-11) -749280468*a(n-12) -2366139159*a(n-13) +7499380996*a(n-14) +7313304008*a(n-15) -43398468452*a(n-16) -1170978370*a(n-17) +160201297848*a(n-18) -83692886880*a(n-19) -390363727264*a(n-20) +354528700808*a(n-21) +637126357152*a(n-22) -786883396000*a(n-23) -700593013632*a(n-24) +1098115601088*a(n-25) +520503186176*a(n-26) -1014936927488*a(n-27) -264788255744*a(n-28) +628983984128*a(n-29) +97800536064*a(n-30) -257790742528*a(n-31) -29839360000*a(n-32) +66734374912*a(n-33) +7884767232*a(n-34) -9802874880*a(n-35) -1429733376*a(n-36) +613416960*a(n-37) +113246208*a(n-38)

Example

Some solutions for n=3
..0..2..1..1....2..0..1..0....0..1..0..1....2..0..1..0....2..0..2..1
..1..1..0..1....1..1..1..1....1..2..1..1....1..1..1..1....1..1..1..1
..1..2..1..2....1..0..1..0....1..0..1..2....1..1..1..2....2..1..2..0
..1..0..1..1....2..1..1..2....1..2..1..0....1..2..1..0....1..0..1..1

Crossrefs

Sequence in context: A214481 A202773 A095257 * A113856 A245947 A235288

Adjacent sequences: A236738 A236739 A236740 * A236742 A236743 A236744

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved