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A253309 Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally 1
3550, 10064, 64560, 266074, 1547188, 8858020, 51974842, 316785048, 1889816848, 11520937494, 69228976028, 420338522082, 2533933878238, 15348106027014, 92666482760148, 560658619860350, 3387466997245654, 20485364481865874 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A253314

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +37*a(n-2) -107*a(n-3) -486*a(n-4) +1018*a(n-5) +3866*a(n-6) -6206*a(n-7) -30268*a(n-8) +50703*a(n-9) +221999*a(n-10) -375260*a(n-11) -1183609*a(n-12) +1552867*a(n-13) +4427784*a(n-14) -4937769*a(n-15) -10826500*a(n-16) +22562360*a(n-17) +26189180*a(n-18) -87151773*a(n-19) -72448042*a(n-20) +306943717*a(n-21) +47064799*a(n-22) -1009281939*a(n-23) +378072841*a(n-24) +2761001674*a(n-25) -49050560*a(n-26) -6740013051*a(n-27) -3824848899*a(n-28) +13172695757*a(n-29) +14866122455*a(n-30) -24287462053*a(n-31) -32467094345*a(n-32) +73114969076*a(n-33) +67761287326*a(n-34) -151086224293*a(n-35) -163493264976*a(n-36) +141458795648*a(n-37) +256000189920*a(n-38) -28921058738*a(n-39) -179496036973*a(n-40) -27002949460*a(n-41) +34741117668*a(n-42) +862760100*a(n-43) -96042640*a(n-44) -2512546848*a(n-45) +556658720*a(n-46) +192661632*a(n-47) -84460160*a(n-48) +8505600*a(n-49) for n>55

EXAMPLE

Some solutions for n=3

..0..0..0..0....0..1..2..0....2..1..0..2....1..0..1..2....1..1..1..0

..0..0..2..1....0..1..0..2....0..2..0..2....0..2..0..2....2..0..2..0

..1..2..0..0....2..0..0..0....1..0..0..0....1..1..0..1....0..0..0..1

..1..0..1..1....2..0..2..1....2..1..2..2....0..0..2..0....2..2..1..2

CROSSREFS

Sequence in context: A020412 A220985 A252989 * A253657 A251040 A253727

Adjacent sequences:  A253306 A253307 A253308 * A253310 A253311 A253312

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2014

STATUS

approved

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Last modified September 30 07:52 EDT 2022. Contains 357104 sequences. (Running on oeis4.)