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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A229012 T(n,k) = number of arrays of median of three adjacent elements of some length n+2 0..k array, with no adjacent equal elements in the latter. 12
 2, 3, 2, 4, 7, 2, 5, 14, 15, 2, 6, 23, 46, 31, 2, 7, 34, 101, 130, 57, 2, 8, 47, 186, 359, 332, 105, 2, 9, 62, 307, 794, 1145, 830, 193, 2, 10, 79, 470, 1527, 3002, 3527, 2054, 353, 2, 11, 98, 681, 2666, 6635, 10860, 10735, 5108, 653, 2, 12, 119, 946, 4335, 13040, 27379 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .2...3.....4......5......6.......7.......8........9.......10.......11........12 .2...7....14.....23.....34......47......62.......79.......98......119.......142 .2..15....46....101....186.....307.....470......681......946.....1271......1662 .2..31...130....359....794....1527....2666.....4335.....6674.....9839.....14002 .2..57...332...1145...3002....6635...13040....23515....39698....63605.....97668 .2.105...830...3527..10860...27379...60180...119653...220318...381749....629586 .2.193..2054..10735..38768..111311..273124...597477..1197190..2238005...3954490 .2.353..5108..32907.139456..456029.1248872..3004839..6549040.13200731..24974126 .2.653.12790.101635.506236.1888383.5780144.15315095.36345246.79063593.160271154 LINKS R. H. Hardin, Table of n, a(n) for n = 1..925 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [order 13] k=3: [order 27] k=4: [order 46] k=5: [order 69] k=6: [order 95] for n>97 Empirical for row n: n=1: a(n) = 1*n + 1 n=2: a(n) = 1*n^2 + 2*n - 1 n=3: a(n) = 1*n^3 + 3*n^2 - 3*n + 1 n=4: a(n) = (2/3)*n^4 + (10/3)*n^3 - (5/3)*n^2 + (2/3)*n - 1 n=5: [polynomial of degree 5] n=6: [polynomial of degree 6] n=7: [polynomial of degree 7] EXAMPLE Some solutions for n=4 k=4 ..1....1....0....3....4....1....2....3....2....3....3....1....1....0....2....2 ..4....1....1....1....3....0....2....1....0....0....2....3....4....4....0....1 ..0....1....3....3....3....2....0....1....4....2....2....4....1....1....3....3 ..3....2....3....1....0....0....1....3....3....1....0....3....4....4....2....3 CROSSREFS Row 2 is A008865(n+1). Sequence in context: A192298 A341098 A254967 * A207606 A303845 A132439 Adjacent sequences:  A229009 A229010 A229011 * A229013 A229014 A229015 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 10 2013 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.

Last modified June 23 04:15 EDT 2021. Contains 345395 sequences. (Running on oeis4.)