A254587 Number of (2+2)X(n+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, vertically and ne-to-sw antidiagonally

2868, 17125, 96756, 545360, 3083065, 17163021, 94299759, 513689395, 2784287954, 15033788426, 81007656094, 435782949444, 2342282105203, 12580176218027, 67541357805877, 362492523075197, 1945139209520412, 10435768594838260

Offset

1,1

Comments

Row 2 of A254586

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..0..0..1..0....1..1..0..0..1....1..0..0..1..1....1..1..0..0..1
..0..0..1..0..1....0..0..0..1..0....1..0..0..1..0....1..1..1..1..1
..1..0..0..1..0....0..1..1..1..1....1..0..1..1..0....0..1..1..1..0
..1..1..1..0..0....0..1..1..0..1....1..1..0..1..1....1..1..0..0..1

Crossrefs

Sequence in context: A235960 A235571 A327376 * A254580 A254355 A261859

Adjacent sequences: A254584 A254585 A254586 * A254588 A254589 A254590

Keyword

nonn

Author

R. H. Hardin, Feb 01 2015

Status

approved