A255038 Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

10732, 33778, 100001, 246173, 566341, 1217347, 2396285, 4226143, 7066617, 11417001, 18388843, 28246205, 42295775, 63059893, 93546123, 134980535, 194632219, 278263361, 398834655, 565053129, 797602403, 1121777705, 1596708825

Offset

1,1

Comments

Row 3 of A255036

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -7*a(n-2) +11*a(n-3) -12*a(n-4) -2*a(n-5) +18*a(n-6) -41*a(n-7) +82*a(n-8) -88*a(n-9) +80*a(n-10) -63*a(n-11) -30*a(n-12) +92*a(n-13) -124*a(n-14) +185*a(n-15) -157*a(n-16) +144*a(n-17) -165*a(n-18) +104*a(n-19) -82*a(n-20) +46*a(n-21) +46*a(n-22) -84*a(n-23) +136*a(n-24) -180*a(n-25) +152*a(n-26) -112*a(n-27) +64*a(n-28) -16*a(n-29) for n>47

Example

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

Crossrefs

Cf. A255036

Sequence in context: A184603 A247854 A117090 * A255031 A256949 A146320

Adjacent sequences: A255035 A255036 A255037 * A255039 A255040 A255041

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved