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A250139 Number of length n+2 0..7 arrays with the medians of every three consecutive terms nondecreasing 1
512, 3032, 17424, 100962, 526032, 2637228, 13201680, 63266403, 294117016, 1356124591, 6123402680, 27078749276, 118540860840, 512525576700, 2185199417888, 9229243091805, 38636507955016, 160181736343585 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A250140

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -28*a(n-2) +224*a(n-3) -1190*a(n-4) +3248*a(n-5) -17696*a(n-6) +72640*a(n-7) -153357*a(n-8) +737768*a(n-9) -2428900*a(n-10) +3759904*a(n-11) -19206730*a(n-12) +48940880*a(n-13) -48259132*a(n-14) +345883552*a(n-15) -589892574*a(n-16) +218257264*a(n-17) -4626107380*a(n-18) +3320504992*a(n-19) +1935449908*a(n-20) +47474925408*a(n-21) +14861141384*a(n-22) -23471448896*a(n-23) -365694310865*a(n-24) -458188579960*a(n-25) -95163887056*a(n-26) +1947466878208*a(n-27) +4190711350648*a(n-28) +3218046899776*a(n-29) -5879084109440*a(n-30) -21377721512000*a(n-31) -25954692113584*a(n-32) +1197800058240*a(n-33) +62821989864576*a(n-34) +108165532306176*a(n-35) +64344143608704*a(n-36) -87723538265088*a(n-37) -247758895203840*a(n-38) -243791582782464*a(n-39) -18959240007936*a(n-40) +276145106688000*a(n-41) +387234416240640*a(n-42) +216204351897600*a(n-43) -66710092492800*a(n-44) -226869092352000*a(n-45) -192067448832000*a(n-46) -79009136640000*a(n-47) -13168189440000*a(n-48)

EXAMPLE

Some solutions for n=4

..3....1....7....2....5....7....1....3....4....4....4....2....1....5....2....7

..1....0....1....0....0....0....6....3....2....3....2....2....2....1....3....1

..0....2....4....2....4....1....5....4....5....0....0....6....7....2....1....4

..4....7....6....6....6....5....4....7....6....6....6....2....6....3....4....7

..2....7....4....4....3....3....7....6....5....4....6....1....6....5....7....5

..0....0....2....4....5....5....6....7....5....3....1....2....5....0....1....7

CROSSREFS

Sequence in context: A253961 A253764 A253757 * A254168 A254457 A254161

Adjacent sequences:  A250136 A250137 A250138 * A250140 A250141 A250142

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 13 2014

STATUS

approved

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Last modified December 3 23:53 EST 2020. Contains 338920 sequences. (Running on oeis4.)