A053123
identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.
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A053123: Triangle of coefficients of shifted Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in decreasing order).
(identification, match triangle)
1 · 1, -2 · 1, -4, 3 · 1, -6, 10, -4 … row sums 1, -1, 0, 1, -1, 0, 1, -1, …
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A053122: Triangle of coefficients of Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in increasing order).
(match reversed triangle)
1 · -2, 1 · 3, -4, 1 · -4, 10, -6, 1 … row sums 1, -1, 0, 1, -1, 0, 1, -1, …