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A253329 Number of (4+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw 1
286, 848, 2538, 7744, 23153, 66196, 185672, 487946, 1267072, 3085862, 7470280, 17091282, 39029883, 84989350, 185271083, 388424614, 817078868, 1665997116, 3414304408, 6830298216, 13751307597, 27192582550, 54155269965, 106492298012 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A253326

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +22*a(n-2) -106*a(n-3) -210*a(n-4) +1326*a(n-5) +1050*a(n-6) -10410*a(n-7) -1890*a(n-8) +57510*a(n-9) -11550*a(n-10) -237570*a(n-11) +112490*a(n-12) +760990*a(n-13) -524030*a(n-14) -1933810*a(n-15) +1690860*a(n-16) +3953670*a(n-17) -4149530*a(n-18) -6551950*a(n-19) +8061326*a(n-20) +8813506*a(n-21) -12654642*a(n-22) -9571614*a(n-23) +16226210*a(n-24) +8262514*a(n-25) -17073770*a(n-26) -5469910*a(n-27) +14742030*a(n-28) +2528970*a(n-29) -10398698*a(n-30) -534118*a(n-31) +5937701*a(n-32) -282818*a(n-33) -2703540*a(n-34) +352848*a(n-35) +958860*a(n-36) -192600*a(n-37) -255360*a(n-38) +66720*a(n-39) +48048*a(n-40) -15072*a(n-41) -5696*a(n-42) +2048*a(n-43) +320*a(n-44) -128*a(n-45)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A204379 A025384 A256000 * A329392 A253322 A241616

Adjacent sequences:  A253326 A253327 A253328 * A253330 A253331 A253332

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2014

STATUS

approved

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Last modified August 12 20:18 EDT 2022. Contains 356077 sequences. (Running on oeis4.)