A219523 Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 6Xn array

7, 15, 74, 465, 2125, 9292, 37442, 146163, 554185, 2025086, 7113545, 23974181, 77690406, 242798386, 733943376, 2151321628, 6127503021, 16989704367, 45932207763, 121260063820, 313015935010, 791017133814, 1959057933111

Offset

1,1

Comments

Row 6 of A219519

Links

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

Formula

Empirical: a(n) = (1/10333147966386144929666651337523200000000)*n^35 - (1/29523279903960414084761860964352000000)*n^34 + (61/5788878412541257663678796267520000000)*n^33 - (229/98674063850135073812706754560000000)*n^32 + (21787/50602084025710294262926540800000000)*n^31 - (7697/115746702463501552859480064000000)*n^30 + (785767981/89124960896896195701799649280000000)*n^29 - (12262561/12195533784468554420060160000000)*n^28 + (48314581657/487821351378742176802406400000000)*n^27 - (245182959041/29269281082724530608144384000000)*n^26 + (582606820043/971228029894328315805696000000)*n^25 - (217521122153737/6191578690576343013261312000000)*n^24 + (17255706612998819773/11268673216848944284135587840000000)*n^23 - (3969387378240839/127257743837932741774540800000)*n^22 - (948399883983541991/424192479459775805915136000000)*n^21 + (554793661807585003/1701306735801239863296000000)*n^20 - (271260606648361279201391/11094264847409521077780480000000)*n^19 + (123053036797554708426697/91089753483993962533355520000)*n^18 - (6283429253036687596286873581/106896504823863503090614272000000)*n^17 + (60068223013208967643606567/29826033712015486353408000000)*n^16 - (4471497680373555887195897199029/87489698888578759969996800000000)*n^15 + (1896409538897788242613596607327/2624690966657362799099904000000)*n^14 + (160170795236717659468816376954201/15478946726440857533153280000000)*n^13 - (72352191783197242910804705194541/65961420709265017896960000000)*n^12 + (1259258806466705069732091179346770473/30012446422715583143116800000000)*n^11 - (22307606743799390366466272261503061/20787841678071399579648000000)*n^10 + (866699612577308238824016124027951799/44836521266428508897280000000)*n^9 - (284271553091628685932040620315311159/1323300106821674741760000000)*n^8 + (321095870488437210935837966277147739/3279974623746031411200000000)*n^7 + (1281185590628544666884744796547777103/23688705615943560192000000)*n^6 - (658754164273482968835981172916338402084271/508904462747315503604736000000)*n^5 + (64005575844906944283904692926158114339/3563756741927979717120000)*n^4 - (1008226574811939900812388929656087642397/6130510109626107965760000)*n^3 + (2599884447896121494946453877727831/2680707555916790400)*n^2 - (14646211686805596893562842932/4512611027925)*n + 4284164824726022 for n>45

Example

Some solutions for n=3
..0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..0....0..0..1
..0..0..0....0..0..1....0..0..0....0..0..1....0..0..0....0..0..0....0..0..1
..1..0..0....0..0..1....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
..1..0..1....0..0..1....0..0..0....0..0..0....1..0..0....1..0..1....0..0..0
..1..1..1....0..0..1....1..0..1....0..1..0....1..0..1....1..1..1....0..0..0
..1..1..1....0..0..1....1..1..1....1..1..1....1..1..1....1..1..1....0..1..0

Crossrefs

Sequence in context: A171064 A042313 A058206 * A177128 A177177 A335758

Adjacent sequences: A219520 A219521 A219522 * A219524 A219525 A219526

Keyword

nonn

Author

R. H. Hardin Nov 21 2012

Status

approved