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 A140876 Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k
 2, 0, 6, -2, 2, 16, 0, -10, 10, 40, 2, -2, -36, 36, 96, 0, 14, -14, -112, 112, 224, -2, 2, 64, -64, -320, 320, 512, 0, -18, 18, 240, -240, -864, 864, 1152, 2, -2, -100, 100, 800, -800, -2240, 2240, 2560, 0, 22, -22, -440, 440, 2464, -2464, -5632, 5632, 5632, -2, 2, 144, -144, -1680, 1680, 7168, -7168, -13824, 13824 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Second differences downwards columns of the Chebyshev triangle A053120. Row sums are 2, 6, 16, 40, 96, 224, 512, 1152, 2560, 5632, 12288,..., A057711. LINKS Table of n, a(n) for n=1..65. EXAMPLE 2; 0, 6; -2, 2, 16; 0, -10, 10, 40; 2, -2, -36, 36, 96; 0, 14, -14, -112, 112, 224; -2, 2, 64, -64, -320, 320, 512; 0, -18, 18, 240, -240, -864, 864, 1152; 2, -2, -100, 100, 800, -800, -2240, 2240, 2560; 0, 22, -22, -440, 440, 2464, -2464, -5632, 5632, 5632; -2, 2, 144, -144, -1680, 1680, 7168, -7168, -13824, 13824, 12288; MATHEMATICA Clear[T, D2, x, n, m] T[n_, m_] := CoefficientList[ChebyshevT[n + 1, x], x][[m + 1]]; D2[n_, m_] := T[n + 2, m] - 2*T[n + 1, m] + T[n, m]; a = Table[Flatten[Table[D2[n, m], {m, 0, n}]], {n, 0, 10}]; Flatten[a] CROSSREFS Sequence in context: A143381 A322093 A277681 * A243997 A036044 A335790 Adjacent sequences: A140873 A140874 A140875 * A140877 A140878 A140879 KEYWORD tabl,sign AUTHOR Roger L. Bagula and Gary W. Adamson, Jul 21 2008 STATUS approved

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Last modified May 20 09:32 EDT 2024. Contains 372710 sequences. (Running on oeis4.)