A056242
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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A056242: Triangle read by rows: T(n,k) = number of k-part order-consecutive partition of {1,2,...,n} (1 <= k <= n).
(identification, match triangle)
basis-map coefficients of A026729 → basis A0562421 · 1, 2 · 1, 5, 4 · 1, 9, 16, 8 … row sums 1, 3, 10, 34, 116, 396, 1352, 4616, …
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basis-map coefficients of A026729 → basis A056242 → reverse
(match reversed triangle)
1 · 2, 1 · 4, 5, 1 · 8, 16, 9, 1 … row sums 1, 3, 10, 34, 116, 396, 1352, 4616, …