A254190 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2908, 20380, 142088, 968448, 6170408, 38010356, 230428580, 1379065312, 8200183208, 48612204096, 287661718172, 1700575224676, 10048259876552, 59355846879096, 350565196760824, 2070321802480816, 12226077048805764

Offset

1,1

Comments

Row 2 of A254189

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -59*a(n-2) +118*a(n-3) -109*a(n-4) +62*a(n-5) -21*a(n-6) -726*a(n-7) +4071*a(n-8) -10315*a(n-9) +19176*a(n-10) -46058*a(n-11) +124575*a(n-12) -217495*a(n-13) +177069*a(n-14) -3623*a(n-15) -248513*a(n-16) +1095194*a(n-17) -3760891*a(n-18) +7538001*a(n-19) -7897670*a(n-20) +628509*a(n-21) +20668328*a(n-22) -46875198*a(n-23) +45358717*a(n-24) -15981695*a(n-25) -48029323*a(n-26) +132840819*a(n-27) -127707135*a(n-28) +60461374*a(n-29) +36947582*a(n-30) -215291040*a(n-31) +249088792*a(n-32) -140610096*a(n-33) +55297680*a(n-34) +139898632*a(n-35) -230764648*a(n-36) +117081280*a(n-37) -75157472*a(n-38) +37986752*a(n-39) +4809600*a(n-40) +6231936*a(n-41) +6482944*a(n-42) -2228736*a(n-43) -4024320*a(n-44) -14330880*a(n-45) +13410304*a(n-46) -4554752*a(n-47) +1597440*a(n-48) +466944*a(n-49) -704512*a(n-50) +458752*a(n-51) -294912*a(n-52) +65536*a(n-53) for n>64

Example

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

Crossrefs

Sequence in context: A247317 A236742 A254183 * A253795 A251477 A210072

Adjacent sequences: A254187 A254188 A254189 * A254191 A254192 A254193

Keyword

nonn

Author

R. H. Hardin, Jan 26 2015

Status

approved