A254355 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically.

2868, 21530, 155358, 998646, 5989018, 34611365, 194880155, 1079370642, 5917060764, 32220109124, 174664000449, 943945603195, 5090591924571, 27411512885846, 147444773325840, 792472479915601, 4256875450985557

Offset

1,1

Comments

Column 2 of A254361

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -31*a(n-2) -138*a(n-3) +828*a(n-4) -1152*a(n-5) -516*a(n-6) +3120*a(n-7) -10242*a(n-8) +25971*a(n-9) -21553*a(n-10) -23255*a(n-11) +86873*a(n-12) -181029*a(n-13) +223910*a(n-14) -48622*a(n-15) -281148*a(n-16) +598492*a(n-17) -720262*a(n-18) +410453*a(n-19) +361755*a(n-20) -1153683*a(n-21) +1271501*a(n-22) -724554*a(n-23) -350616*a(n-24) +1664393*a(n-25) -1946703*a(n-26) +936016*a(n-27) +714120*a(n-28) -2211288*a(n-29) +2343444*a(n-30) -862717*a(n-31) -1272388*a(n-32) +2269089*a(n-33) -1454731*a(n-34) -85196*a(n-35) +1313620*a(n-36) -1290256*a(n-37) +181169*a(n-38) +689073*a(n-39) -724485*a(n-40) +253943*a(n-41) +182620*a(n-42) -309028*a(n-43) +159124*a(n-44) +26532*a(n-45) -58848*a(n-46) +14848*a(n-47) +2560*a(n-48) -1024*a(n-49) for n>55

Example

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

Crossrefs

Sequence in context: A327376 A254587 A254580 * A261859 A286526 A081427

Adjacent sequences: A254352 A254353 A254354 * A254356 A254357 A254358

Keyword

nonn

Author

R. H. Hardin, Jan 29 2015

Status

approved