A236897 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal

1426, 30644, 588459, 13845208, 316943905, 7481102325, 175715346236, 4145228790666, 97710106028444, 2304635974701835, 54351411996290820, 1281913433568215163, 30234182342920477885, 713088599383699252100

Offset

1,1

Comments

Column 3 of A236902

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -37*a(n-2) -8470*a(n-3) +51669*a(n-4) +752531*a(n-5) -6643533*a(n-6) -29563267*a(n-7) +377278117*a(n-8) +427505875*a(n-9) -11678167646*a(n-10) +4773827839*a(n-11) +217837379851*a(n-12) -282681444189*a(n-13) -2596818605282*a(n-14) +5009157255824*a(n-15) +20432200880418*a(n-16) -51099593474742*a(n-17) -107033577018876*a(n-18) +341360901276124*a(n-19) +363358889251672*a(n-20) -1574199713306680*a(n-21) -699327394097872*a(n-22) +5139682394465456*a(n-23) +166791802046528*a(n-24) -11995114773171328*a(n-25) +3166009122595200*a(n-26) +19947659107319936*a(n-27) -9901594588077568*a(n-28) -23232765520112640*a(n-29) +16297202205798400*a(n-30) +18234086187745280*a(n-31) -16786759428603904*a(n-32) -8863411740344320*a(n-33) +11041228396691456*a(n-34) +2071562574364672*a(n-35) -4460447579242496*a(n-36) +121124486643712*a(n-37) +994785292713984*a(n-38) -167941811208192*a(n-39) -92255897518080*a(n-40) +24326694764544*a(n-41)

Example

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

Crossrefs

Sequence in context: A083428 A376793 A068572 * A163589 A250582 A260283

Adjacent sequences: A236894 A236895 A236896 * A236898 A236899 A236900

Keyword

nonn

Author

R. H. Hardin, Feb 01 2014

Status

approved