A219466 Number of nX3 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..3 nX3 array

10, 68, 673, 5040, 32229, 185800, 982456, 4815782, 22059734, 95049799, 387398157, 1500899485, 5551333536, 19675267097, 67041131529, 220243855894, 699365511947, 2151361250171, 6423848162633, 18651881494908, 52745972542258

Offset

1,1

Comments

Column 3 of A219471

Links

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

Formula

Empirical: a(n) = (1/523022617466601111760007224100074291200000000)*n^38 + (1/887984070401699680407482553650380800000000)*n^37 + (211/743986653579802434935998896301670400000000)*n^36 + (37/901802004339154466589089571274752000000)*n^35 + (23431/5904655980792082816952372192870400000000)*n^34 + (751/2566497818368045269611288985600000000)*n^33 + (18234521/994634563609361544032084085964800000000)*n^32 + (1202479/1177082323798060998854537379840000000)*n^31 + (3257916313/64169971845765260905295747481600000000)*n^30 + (15998577713/7129996871751695656143971942400000000)*n^29 + (34241128937/386354510291963804027505868800000000)*n^28 + (35548456637/11038700294056108686500167680000000)*n^27 + (10947288367751/101418058951640498557220290560000000)*n^26 + (237907312593869/73758588328465817132523847680000000)*n^25 + (71600877671657743/811344471613123988457762324480000000)*n^24 + (122707098285448223/54089631440874932563850821632000000)*n^23 + (3671970390070217/70641033314117766862602240000000)*n^22 + (1589133646897620433/1483461699596473104114647040000000)*n^21 + (264925397893974283417499/12429925580918848139376627548160000000)*n^20 + (3615125506802045691703/10064717069569917521762451456000000)*n^19 + (99834558409326312420878167/17990681761856227570150381977600000000)*n^18 + (8082599270771039606958097/88189616479687390049756774400000000)*n^17 + (40084616932042931244243721/48294313786495475503438233600000000)*n^16 + (82210406612645728578527/5375990402949403581087744000000)*n^15 + (77521233231877746972047550487/760635442137303739179152179200000000)*n^14 + (318314789653271743306315093267/190158860534325934794788044800000000)*n^13 - (158292888536859409403815888861/17287169139484175890435276800000000)*n^12 + (70868942634763610614565096827/128053104736919821410631680000000)*n^11 - (28239949688137362945250580263751/3978792897182865879544627200000000)*n^10 + (1250965614347251807731812019833/15788860703106610633113600000000)*n^9 - (23380069818927909043317980888257301/43969345581368059511449190400000000)*n^8 + (1533222352111813385357485885877/454604482851199953592320000000)*n^7 - (2368130301559082421877403072112469/97327978500424090064405760000000)*n^6 + (1758899229989365280437101191329/9040100174194737263616000000)*n^5 - (28115613360169956438589192637861/24718216762012467317944320000)*n^4 + (20392529937699678379400434687/4904408087700886372608000)*n^3 - (1495340558417657393233035721/177684955970610344256000)*n^2 + (3623955459298340527/485721041551200)*n - 732 for n>5

Example

Some solutions for n=3
..1..1..1....0..0..1....0..0..2....0..0..1....0..0..1....0..0..0....0..0..0
..1..1..2....1..1..2....0..0..0....0..0..2....0..0..3....0..0..3....0..0..3
..2..2..2....3..0..0....3..0..2....2..2..2....2..2..3....2..1..1....1..0..0

Crossrefs

Sequence in context: A026901 A027242 A081656 * A330352 A321060 A026958

Adjacent sequences: A219463 A219464 A219465 * A219467 A219468 A219469

Keyword

nonn

Author

R. H. Hardin Nov 20 2012

Status

approved