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 A250320 T(n,k)=Number of length n+2 0..k arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero 14
 2, 5, 8, 8, 25, 8, 13, 60, 41, 24, 18, 117, 104, 161, 42, 25, 200, 233, 652, 487, 104, 32, 321, 436, 1773, 2432, 1689, 212, 41, 480, 745, 3916, 8767, 12820, 5849, 464, 50, 681, 1152, 7969, 24126, 57833, 61092, 19981, 950, 61, 940, 1733, 14452, 57305, 197848 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......5.......8.......13........18.........25.........32........41 ....8.....25......60......117.......200........321........480.......681 ....8.....41.....104......233.......436........745.......1152......1733 ...24....161.....652.....1773......3916.......7969......14452.....24293 ...42....487....2432.....8767.....24126......57305.....119004....228401 ..104...1689...12820....57833....197848.....558541....1357424...2953265 ..212...5849...61092...363457...1559080....5237161...14866258..37065983 ..464..19981..300616..2317841..12424332...50020061..166783380.476368553 ..950..67459.1423966.14305925..95711098..461868677.1809575752 .1968.221953.6523576.85334033.709795516.4110975765 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -6*a(n-3) +3*a(n-4) +3*a(n-5) -2*a(n-6) Empirical for row n: n=1: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4); also a quadratic polynomial plus a constant quasipolynomial with period 2 n=2: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +2*a(n-5) -a(n-6) +2*a(n-7) -a(n-8); also a cubic polynomial plus a linear quasipolynomial with period 3 EXAMPLE Some solutions for n=5 k=4 ..2....2....4....4....0....3....1....4....2....1....4....0....4....4....2....2 ..3....3....3....4....2....4....0....3....4....1....2....0....0....4....2....1 ..2....0....3....1....0....0....2....0....3....0....2....2....2....3....2....1 ..1....4....0....0....1....4....4....1....4....1....0....4....1....4....1....0 ..4....1....1....0....3....0....2....0....3....0....2....0....3....0....3....4 ..3....2....0....2....4....1....4....1....2....2....3....0....2....2....3....2 ..4....3....1....0....2....2....3....4....4....4....1....4....4....0....1....3 CROSSREFS Row 1 is A000982(n+1) Sequence in context: A356870 A351391 A046825 * A250561 A131716 A011279 Adjacent sequences: A250317 A250318 A250319 * A250321 A250322 A250323 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 18 2014 STATUS approved

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Last modified September 30 09:22 EDT 2023. Contains 365784 sequences. (Running on oeis4.)