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A251428 T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero 14
2, 9, 12, 16, 41, 12, 29, 116, 97, 40, 42, 237, 380, 341, 56, 61, 432, 1113, 1888, 1003, 144, 80, 725, 2532, 6589, 7458, 3129, 240, 105, 1128, 5097, 18952, 34893, 31980, 9439, 544, 130, 1641, 9120, 44465, 122452, 183341, 127566, 28717, 992, 161, 2316, 15449 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2......9......16........29.........42.........61..........80..........105

...12.....41.....116.......237........432........725........1128.........1641

...12.....97.....380......1113.......2532.......5097........9120........15449

...40....341....1888......6589......18952......44465.......94452.......180625

...56...1003....7458.....34893.....122452.....349257......863840......1913597

..144...3129...31980....183341.....791668....2647405.....7658288.....19250197

..240...9439..127566....938895....4868362...19285211....64105154....183394583

..544..28717..520568...4771117...29782800..137949185...526064608...1698285517

..992..86695.2080650..24063611..179832500..976032575..4251906158..15488167451

.2112.261789.8370976.120999825.1084104408.6871688649.34199112972.140282803741

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..202

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3)

k=2: [order 14]

k=3: [order 29]

Empirical for row n:

n=1: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4); also a polynomial of degree 2 plus a quasipolynomial of degree 0 with period 2

n=2: a(n) = a(n-1) +2*a(n-3) -a(n-4) -a(n-5) -a(n-6) -a(n-7) +2*a(n-8) +a(n-10) -a(n-11); also a polynomial of degree 3 plus a quasipolynomial of degree 1 with period 12

n=3: [order 38]

EXAMPLE

Some solutions for n=5 k=4

..3....3....1....0....3....1....4....3....3....1....3....1....0....4....0....3

..2....1....4....4....1....0....4....0....0....0....1....0....2....2....1....2

..3....2....1....4....1....0....1....3....1....4....2....3....4....1....3....3

..0....3....0....0....0....4....2....2....3....3....1....1....0....3....1....3

..4....1....3....1....3....3....4....3....3....0....3....3....2....4....3....1

..0....3....4....3....0....1....4....4....0....3....2....4....0....1....1....3

..3....3....0....0....3....1....1....4....0....0....2....4....2....2....4....3

CROSSREFS

Row 1 is A248434

Sequence in context: A103008 A124742 A152003 * A050855 A031070 A350630

Adjacent sequences:  A251425 A251426 A251427 * A251429 A251430 A251431

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 02 2014

STATUS

approved

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)