A001478
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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A124038 → x ↦ x+1
(match row sums)
1 · -1, 1 · -2, 0, 1 · -1, -3, 1, 1 … row sums 1, 0, -1, -2, -3, -4, -5, -6, …
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A132013: T(n,j) for an iterated mixed order Laguerre transform. Coefficients of the normalized generalized Laguerre polynomials (-1)^n*n!*L(n,1-n,x).
(match row sums)
A023531 → (−1/n)D²+(1/n)D1 · -1, 1 · 0, -2, 1 · 0, 0, -3, 1 … row sums 1, 0, -1, -2, -3, -4, -5, -6, …