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 A143810 Eigentriangle of A051731, the inverse Mobius transform. 0
 1, 1, 1, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 0, 5, 1, 1, 2, 0, 0, 6, 1, 0, 0, 0, 0, 0, 10, 1, 1, 0, 3, 0, 0, 0, 11, 1, 0, 2, 0, 0, 0, 0, 0, 16, 1, 1, 0, 0, 5, 0, 0, 0, 0, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 1, 1, 2, 3, 0, 6, 0, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Right border = A003238. Row sums = A003238 shifted one place to the left. Sum of n-th row terms = rightmost term of next row. The sequence A003238: (1, 1, 2, 3, 5, 6, 10, 11,...) = the eigensequence of the inverse Mobius transform, A051731. First few rows of the triangle = 1; 1, 1; 1, 0, 2; 1, 1, 0, 3; 1, 0, 0, 0, 5; 1, 1, 2, 0, 0, 6; 1, 0, 0, 0, 0, 0, 10; 1, 1, 0, 3, 0, 0, 0, 11; 1, 0, 2, 0, 0, 0, 0, 0, 16; 1, 1, 0, 0, 5, 0, 0, 0, 0, 19; ... n-th row = termwise product of A051731 terms and the first n terms of A003238: (1, 1, 2, 3, 5, 6, 10, 11,...). Example: row 6 = (1, 1, 2, 0, 0, 6) = termwise product of (1, 1, 1, 0, 0, 1) and (1, 1, 2, 3, 5, 6). LINKS FORMULA Triangle read by rows, A051731 * (A003238 * 0^(n-k)); 1<=k<=n CROSSREFS A051731, Cf. A003238 Sequence in context: A343029 A343037 A152434 * A128589 A130162 A175595 Adjacent sequences:  A143807 A143808 A143809 * A143811 A143812 A143813 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 01 2008 STATUS approved

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Last modified August 3 08:21 EDT 2021. Contains 346435 sequences. (Running on oeis4.)