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 A144027 Eigentriangle by rows, T(n,k) = A010060(n-k+1)*A144026(k-1), 1<=k<=n. 1
 1, 1, 1, 0, 1, 2, 1, 0, 2, 3, 0, 1, 0, 3, 6, 0, 0, 2, 0, 6, 10, 1, 0, 0, 3, 0, 10, 18, 1, 1, 0, 0, 6, 0, 18, 32, 0, 1, 2, 0, 0, 10, 0, 32, 58, 0, 0, 2, 3, 0, 0, 18, 0, 58, 103, 1, 0, 0, 3, 6, 0, 0, 32, 0, 103, 184, 0, 1, 0, 0, 6, 10, 0, 0, 58, 0, 184, 329, 1, 0, 2, 0, 0, 10, 18, 0, 0, 103, 329, 588 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Left column = the Thue-Morse sequence A010060 starting with offset 1. Right border = A144026: (1, 1, 2, 3, 6, 10, 18,...). Row sums = A144026: (1, 2, 3, 6, 10, 18,...). Sum of n-th row terms = rightmost term of next row. LINKS FORMULA Eigentriangle by rows, T(n,k) = A010060(n-k+1)*A144026(k-1), 1<=k<=n. The triangle is generated from the Thue-Morse sequence A010060 using offset 1: (1, 1, 0, 1, 0, 0, 1,...). A144026 is (1, 1, 2, 3, 6, 10, 18,...). EXAMPLE The first few rows of the triangle = 1; 1, 1; 0, 1, 2; 1, 0, 2, 3; 0, 1, 0, 3, 6; 0, 0, 2, 0, 6, 10; 1, 0, 0, 3, 0, 10, 18; 1, 1, 0, 0, 6, 0, 18, 32; 0, 1, 2, 0, 0, 10, 0, 32, 58; 0, 0, 2, 3, 0, 0, 18, 0, 58, 103; 1, 0, 0, 3, 6, 0, 0, 32, 0, 103, 184; ... Row 4 = (1, 0, 2, 3) = termwise products of (1, 0, 1, 1) and (1, 1, 2, 3), where (1, 0, 1, 1) = the first 4 terms of A010060, reversed with offset 1. (1, 1, 2, 3) = first 4 terms of A144026: (1, 1, 2, 3, 6, 10, 18,...). CROSSREFS Cf. A010060, A144026 Sequence in context: A161515 A145580 A144219 * A019591 A091967 A031135 Adjacent sequences:  A144024 A144025 A144026 * A144028 A144029 A144030 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 07 2008 STATUS approved

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