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A220206 Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array 1
10, 38, 238, 956, 3294, 10762, 33804, 101396, 290268, 797260, 2114037, 5437406, 13608427, 33213956, 79197154, 184791538, 422567975, 948321570, 2091208462, 4536221049, 9688543730, 20391555264, 42323960656, 86685565242, 175300099767 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A220204

LINKS

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

FORMULA

Empirical: a(n) = (1/403291461126605635584000000)*n^26 - (1/10340806695553990656000000)*n^25 - (1/124089680346647887872000)*n^24 + (1/817455074747351040000)*n^23 - (10039/269760174666625843200000)*n^22 - (199/143413171008307200000)*n^21 + (3959/23580434848481280000)*n^20 - (7187/1429117263544320000)*n^19 - (3063251/99286041467289600000)*n^18 + (3134525899/430239513024921600000)*n^17 - (18293331293/83517081940131840000)*n^16 + (14052701359/9279675771125760000)*n^15 + (927423920085097/10857220652217139200000)*n^14 - (71195294832587/25308206648524800000)*n^13 + (1453021031112971/41758540970065920000)*n^12 + (2941010310311/115037302947840000)*n^11 - (563880275631711089/80669908692172800000)*n^10 + (28582734418296013/271615854182400000)*n^9 - (4249867083162807899/5895108712120320000)*n^8 + (2277798744259856921/1965036237373440000)*n^7 + (412311744610887150719/22516040219904000000)*n^6 - (2333464272159792749359/24392376904896000000)*n^5 - (1203874529306099107997/1870082229375360000)*n^4 + (602265476891826109/59651745753600)*n^3 - (120139113981888058/2153403927675)*n^2 + (13189821894253/83140200)*n - 196824 for n>9

EXAMPLE

Some solutions for n=3

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

..3..1..1....3..1..1....3..0..0....2..1..1....1..0..0....2..1..1....0..0..0

..3..3..1....3..2..1....3..1..0....3..3..3....1..0..0....3..3..2....2..0..0

CROSSREFS

Sequence in context: A164298 A050479 A288391 * A218081 A219823 A216591

Adjacent sequences:  A220203 A220204 A220205 * A220207 A220208 A220209

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 07 2012

STATUS

approved

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Last modified August 5 07:29 EDT 2020. Contains 336209 sequences. (Running on oeis4.)