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A250138 Number of length n+2 0..6 arrays with the medians of every three consecutive terms nondecreasing 1
343, 1799, 9156, 46914, 217856, 974944, 4350588, 18667931, 77880418, 322089271, 1307443907, 5208681584, 20546907053, 80150786624, 308819454899, 1179461682136, 4468650085856, 16786704855127, 62609587475559 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A250140

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -21*a(n-2) +147*a(n-3) -672*a(n-4) +1526*a(n-5) -7399*a(n-6) +25649*a(n-7) -42973*a(n-8) +192307*a(n-9) -514173*a(n-10) +575399*a(n-11) -3074566*a(n-12) +5772926*a(n-13) -3135200*a(n-14) +33671364*a(n-15) -31736296*a(n-16) -6174074*a(n-17) -268252277*a(n-18) -22436585*a(n-19) +124952727*a(n-20) +1541722905*a(n-21) +1602276594*a(n-22) +140604582*a(n-23) -5840564831*a(n-24) -11203950193*a(n-25) -7301869176*a(n-26) +11531631728*a(n-27) +38571124984*a(n-28) +41463778840*a(n-29) +1826080960*a(n-30) -68505468224*a(n-31) -106915234608*a(n-32) -60747512976*a(n-33) +46128994560*a(n-34) +130831309440*a(n-35) +115397395200*a(n-36) +23935046400*a(n-37) -56194560000*a(n-38) -71456256000*a(n-39) -37324800000*a(n-40) -7464960000*a(n-41)

EXAMPLE

Some solutions for n=4

..5....2....1....6....2....5....2....4....4....6....2....3....3....0....0....6

..0....1....1....4....5....0....0....0....2....2....0....1....1....6....1....5

..0....0....6....2....4....3....3....2....2....0....6....4....6....2....6....5

..1....4....1....5....4....5....5....2....5....6....5....4....3....2....1....6

..4....6....4....4....2....6....2....2....5....4....3....4....4....4....3....5

..0....5....5....5....4....5....5....3....5....4....5....1....4....2....6....5

CROSSREFS

Sequence in context: A075546 A167733 A167730 * A016923 A016983 A267321

Adjacent sequences:  A250135 A250136 A250137 * A250139 A250140 A250141

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 13 2014

STATUS

approved

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Last modified August 26 05:23 EDT 2019. Contains 326328 sequences. (Running on oeis4.)