A254554 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2696, 9292, 34780, 111443, 375458, 1206693, 3894656, 12325300, 38716071, 119879610, 368721544, 1126066489, 3426457567, 10392728851, 31463157132, 95108635680, 287218972018, 866713232348, 2614078864722, 7881309979752

Offset

1,1

Comments

Row 2 of A254553

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +11*a(n-3) +45*a(n-4) -103*a(n-5) +115*a(n-6) -38*a(n-7) -107*a(n-8) -131*a(n-9) +921*a(n-10) -596*a(n-11) -2181*a(n-12) +5379*a(n-13) -6824*a(n-14) +4068*a(n-15) +5485*a(n-16) -16322*a(n-17) +22346*a(n-18) -18834*a(n-19) +189*a(n-20) +18197*a(n-21) -22297*a(n-22) +20167*a(n-23) -13557*a(n-24) +7411*a(n-25) -7586*a(n-26) +3540*a(n-27) +8543*a(n-28) -19094*a(n-29) +22262*a(n-30) -18776*a(n-31) +8091*a(n-32) +2783*a(n-33) -6540*a(n-34) +7569*a(n-35) -6328*a(n-36) +4240*a(n-37) -4436*a(n-38) +3729*a(n-39) -1549*a(n-40) -563*a(n-41) +2054*a(n-42) -2410*a(n-43) +1438*a(n-44) -269*a(n-45) -74*a(n-46) +186*a(n-47) -36*a(n-48) -200*a(n-49) +112*a(n-50) -32*a(n-51) -32*a(n-52) +80*a(n-53) -32*a(n-54) for n>62

Example

Some solutions for n=4
..0..0..0..1..0..1....0..1..1..1..0..1....1..0..0..1..1..0....0..0..0..0..0..1
..0..0..0..1..0..1....1..1..0..1..1..1....1..0..0..0..1..0....0..0..0..0..1..0
..1..1..0..0..0..0....1..1..0..1..0..1....1..0..0..1..1..0....1..0..0..0..0..0
..1..0..0..1..1..0....1..1..0..1..1..1....0..0..0..1..1..1....0..1..0..1..1..1

Crossrefs

Sequence in context: A111027 A245529 A210049 * A254547 A254477 A115930

Adjacent sequences: A254551 A254552 A254553 * A254555 A254556 A254557

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved