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 A250561 T(n,k)=Number of length n+2 0..k arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero 13
 2, 5, 8, 8, 25, 14, 13, 60, 83, 32, 18, 117, 302, 297, 62, 25, 200, 761, 1516, 989, 128, 32, 321, 1648, 5105, 7126, 3113, 254, 41, 480, 3125, 13732, 31525, 30780, 9611, 512, 50, 681, 5446, 31173, 106362, 177421, 127586, 29257, 1022, 61, 940, 8843, 63400, 290909 (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 ...14.....83.....302.......761.......1648.......3125........5446.........8843 ...32....297....1516......5105......13732......31173.......63400.......117749 ...62....989....7126.....31525.....106362.....290909......695890......1486139 ..128...3113...30780....177421.....744564....2457921.....6924692.....17094253 ..254...9611..127586....937817....4808120...18934449....62245658....176612641 ..512..29257..518052...4803653...29723864..137976845...522997696...1688068993 .1022..88503.2085808..24257725..180290280..980389815..4258085394..15526286669 .2048.266769.8367220.121800949.1085927844.6899647449.34261234132.140731044189 LINKS R. H. Hardin, Table of n, a(n) for n = 1..159 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) k=2: [order 10] for n>15 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 n=3: [order 21; also a quartic polynomial plus a linear quasipolynomial with period 60] EXAMPLE Some solutions for n=5 k=4 ..0....0....1....4....4....3....4....0....3....0....1....1....1....3....0....3 ..1....2....2....0....0....0....4....1....2....4....0....1....2....0....0....3 ..3....2....0....3....3....0....1....3....4....4....0....2....2....1....2....1 ..3....3....2....4....0....3....2....3....3....3....4....2....0....0....4....0 ..1....1....1....1....1....3....4....3....0....1....3....2....2....1....0....1 ..3....0....2....1....4....4....4....4....0....1....3....1....0....3....2....4 ..4....0....1....3....0....1....2....1....1....3....2....3....1....4....2....0 CROSSREFS Row 1 is A000982(n+1) Row 2 is A250321 Sequence in context: A351391 A046825 A250320 * A131716 A011279 A185094 Adjacent sequences: A250558 A250559 A250560 * A250562 A250563 A250564 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 25 2014 STATUS approved

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Last modified September 28 18:05 EDT 2023. Contains 365736 sequences. (Running on oeis4.)