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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<n. 0
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
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
KEYWORD
tabl,sign
AUTHOR
STATUS
approved

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