login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 08:31 EST 2021. Contains 349594 sequences. (Running on oeis4.)