The OEIS is supported by the many generous donors to the OEIS Foundation.

 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A229009 Number of arrays of median of three adjacent elements of some length n+2 0..5 array, with no adjacent equal elements in the latter. 1

%I

%S 6,34,186,794,3002,10860,38768,139456,506236,1849846,6780968,24874236,

%T 91221120,334365156,1225151856,4488311694,16442040398,60232977210,

%U 220660283800,808393136582,2961592442222,10849984832400,39749595896184

%N Number of arrays of median of three adjacent elements of some length n+2 0..5 array, with no adjacent equal elements in the latter.

%C Column 5 of A229012.

%H R. H. Hardin, <a href="/A229009/b229009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) -20*a(n-3) +22*a(n-4) +82*a(n-5) -149*a(n-6) -43*a(n-7) +448*a(n-8) -234*a(n-9) -682*a(n-10) +1345*a(n-11) +224*a(n-12) -2593*a(n-13) +2526*a(n-14) +1704*a(n-15) -5131*a(n-16) +3300*a(n-17) +3626*a(n-18) -8749*a(n-19) +6357*a(n-20) +4147*a(n-21) -16222*a(n-22) +17531*a(n-23) -1049*a(n-24) -26481*a(n-25) +39209*a(n-26) -20438*a(n-27) -26566*a(n-28) +64130*a(n-29) -57341*a(n-30) +140*a(n-31) +70204*a(n-32) -97044*a(n-33) +51459*a(n-34) +41116*a(n-35) -107708*a(n-36) +100930*a(n-37) -16302*a(n-38) -75708*a(n-39) +115023*a(n-40) -67934*a(n-41) -19000*a(n-42) +85062*a(n-43) -80464*a(n-44) +25613*a(n-45) +34418*a(n-46) -57825*a(n-47) +36505*a(n-48) +585*a(n-49) -24392*a(n-50) +24406*a(n-51) -9363*a(n-52) -5285*a(n-53) +9392*a(n-54) -6018*a(n-55) +851*a(n-56) +2156*a(n-57) -2078*a(n-58) +767*a(n-59) +139*a(n-60) -384*a(n-61) +244*a(n-62) -37*a(n-63) -36*a(n-64) +32*a(n-65) -11*a(n-66) +2*a(n-68) -a(n-69)

%e Some solutions for n=4

%e ..5....1....5....2....4....5....0....1....3....1....1....3....0....5....2....4

%e ..1....0....2....4....5....0....4....1....1....1....3....3....4....0....2....2

%e ..3....4....3....4....1....3....1....3....4....4....2....3....2....5....3....5

%e ..0....1....3....2....2....2....2....2....1....2....2....4....2....4....3....4

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 10 2013

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

Last modified December 6 21:00 EST 2022. Contains 358648 sequences. (Running on oeis4.)