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A224055 Number of nX6 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing 1
148, 4690, 57911, 428949, 2392915, 11231300, 46853641, 179545949, 646161612, 2215310269, 7295294696, 23173431000, 71137228340, 211216789027, 606907100518, 1688654512840, 4553248388246, 11908977568334, 30245780813181 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A224057

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..178

FORMULA

Empirical: a(n) = (1/35608838483312640000)*n^24 + (1/593480641388544000)*n^23 + (1/11491439984640000)*n^22 + (59/20274183401472000)*n^21 + (204271/2432902008176640000)*n^20 + (34451/17377871486976000)*n^19 + (18917939/448166159400960000)*n^18 + (769849/995924798668800)*n^17 + (226679623/17575143505920000)*n^16 + (2152013/11412430848000)*n^15 + (706815667/289700167680000)*n^14 + (9710969/517321728000)*n^13 + (22058018740169/52725430517760000)*n^12 + (883262112781/878757175296000)*n^11 + (30292372315283/675967057920000)*n^10 + (425362282393/5977939968000)*n^9 + (18858448588311589/8002967132160000)*n^8 - (2707211596157/114328101888000)*n^7 + (2638894624680309119/59133034920960000)*n^6 - (590269621381831/6636704256000)*n^5 + (21039414018476657/25935541632000)*n^4 - (10575054526365457/1955457504000)*n^3 + (4363361309424841/172982779200)*n^2 + (520015184729/102965940)*n - 216272 for n>7

EXAMPLE

Some solutions for n=3

..1..0..0..0..0..0....0..0..0..0..2..0....0..1..1..0..0..0....0..0..0..0..2..0

..2..0..0..0..0..0....0..0..1..2..1..0....1..2..2..0..0..0....0..0..2..2..1..0

..1..1..0..0..0..0....0..2..2..1..1..1....2..2..2..1..1..0....2..2..2..1..0..0

CROSSREFS

Sequence in context: A223916 A224188 A223931 * A224308 A224372 A185478

Adjacent sequences:  A224052 A224053 A224054 * A224056 A224057 A224058

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

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Last modified June 28 12:59 EDT 2022. Contains 354907 sequences. (Running on oeis4.)