A204614 Number of (n+1)X7 0..1 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

2470, 62031, 1322417, 30487865, 681254361, 15468240213, 349154906413, 7906679632133, 178861353295693, 4048711525940229, 91630607640716125, 2074053395951695477, 46944781686731659341, 1062590925213315251173

Offset

1,1

Comments

Column 6 of A204616

Links

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

Formula

Empirical: a(n) = 72*a(n-1) -1931*a(n-2) +19538*a(n-3) +100413*a(n-4) -4242004*a(n-5) +31231687*a(n-6) +110702986*a(n-7) -2919035988*a(n-8) +11380887064*a(n-9) +71438254316*a(n-10) -735184874216*a(n-11) +675698711376*a(n-12) +16578796382048*a(n-13) -64756353344576*a(n-14) -134173857715072*a(n-15) +1349514026669568*a(n-16) -1039438519612416*a(n-17) -13947460019884032*a(n-18) +34445222660911104*a(n-19) +70739200089346048*a(n-20) -362446115954745344*a(n-21) -24525620663205888*a(n-22) +2135885372576268288*a(n-23) -2011581611939921920*a(n-24) -7584501613718536192*a(n-25) +13784598207526076416*a(n-26) +15135741320257601536*a(n-27) -49130653604522229760*a(n-28) -9105973595592458240*a(n-29) +108430684964582850560*a(n-30) -32076543208607186944*a(n-31) -153800125421683998720*a(n-32) +93832220411741339648*a(n-33) +139601887625434103808*a(n-34) -119220988390991200256*a(n-35) -78629286118437158912*a(n-36) +84845767721914204160*a(n-37) +25842267261627269120*a(n-38) -34107186182096945152*a(n-39) -4415342928520544256*a(n-40) +6996913767166509056*a(n-41) +301538864894312448*a(n-42) -530404409239142400*a(n-43) for n>47

Example

Some solutions for n=4
..0..0..1..1..1..1..1....1..1..0..0..0..1..0....1..0..0..0..0..0..1
..1..0..0..0..0..0..0....0..0..0..0..0..0..0....1..0..1..0..1..0..1
..1..0..1..0..1..1..1....0..0..1..0..0..0..1....1..0..1..0..1..0..1
..1..0..1..0..1..1..1....1..0..0..0..0..0..1....1..0..0..0..1..0..1
..0..0..0..0..0..0..0....0..0..0..1..1..0..0....1..0..0..0..1..0..0

Crossrefs

Sequence in context: A253229 A253348 A253355 * A204798 A224723 A183703

Adjacent sequences: A204611 A204612 A204613 * A204615 A204616 A204617

Keyword

nonn

Author

R. H. Hardin Jan 17 2012

Status

approved