A219777 - OEIS

A219777

Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 6Xn array

7, 12, 101, 732, 4795, 27921, 147012, 723580, 3337980, 14511011, 59861245, 235609265, 887651008, 3207981101, 11143521040, 37284296392, 120416051739, 376205293077, 1139267891524, 3350419462463, 9584861050421, 26715225919808

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OFFSET

1,1

COMMENTS

Row 6 of A219773

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..207

FORMULA

Empirical: a(n) = (1/40363859243695878631510356787200000000)*n^35 + (1/768835414165635783457340129280000000)*n^34 - (1/3391920944848393162311794688000000)*n^33 + (1297/32891354616711691270902251520000000)*n^32 - (167/1019360163741064812114739200000000)*n^31 - (39409/132626429906095529318154240000000)*n^30 + (82349/1934135436130559802556416000000)*n^29 - (1357523/481402649386916621844480000000)*n^28 + (279248141/5716656461469634884403200000000)*n^27 + (9183684109/762220861529284651253760000000)*n^26 - (613141861303/386973668161021438328832000000)*n^25 + (6514447577629/60701751868395519737856000000)*n^24 - (1377196137353646971/352146038026529508879237120000000)*n^23 - (6454829250547/220933583051966565580800000)*n^22 + (284654362707373/19027772703040182681600000)*n^21 - (30218531162397980797/26512029966235987869696000000)*n^20 + (86466174975959944067341/1690141910347544226693120000000)*n^19 - (15211528789017746806321/11860644984895047204864000000)*n^18 - (513435727730689176204521/83512894393643361789542400000)*n^17 + (2151794586183900171583271/927534576078226980864000000)*n^16 - (8021134043141803410353301122093/65617274166434069977497600000000)*n^15 + (8191874688357126162431405330321/2187242472214468999249920000000)*n^14 - (72419088858168942357263459387623/1160921004483064314986496000000)*n^13 - (1590191650222292127135576400603/5496785059105418158080000000)*n^12 + (98218001412387757215543915953886167/1818936146831247463219200000000)*n^11 - (27233191101806214410004392161943711/15043832793341144432640000000)*n^10 + (110528343875153785345985042487597799/3175920256372019380224000000)*n^9 - (110312176557025698471648409518410473/311364731016864645120000000)*n^8 - (1743351701335351309995329010181022507/1776652921195767014400000000)*n^7 + (27650956719673073294470575030851340781/266497938179365052160000000)*n^6 - (40376411136986929669908803855621123698679/21204352614471479316864000000)*n^5 + (1179689145021583509739447851990971700557/60583864612775655191040000)*n^4 - (1749660224826242102482702421774211523/15364686991544130240000)*n^3 + (30662863473604374791711425242511/111442868915664000)*n^2 + (13550032347452370447061247671/24067258815600)*n - 3538538269662194 for n>39

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

CROSSREFS

Sequence in context: A177169 A275005 A298678 * A157808 A354301 A225227

Adjacent sequences: A219774 A219775 A219776 * A219778 A219779 A219780

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 27 2012

STATUS

approved