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 A145975 Triangle read by rows, partition triangle A027293 convolved with A010815. 3
 1, 1, -1, 2, -1, -1, 3, -2, -1, 0, 5, -3, -2, 0, 0, 7, -5, -3, 0, 0, 1, 11, -7, -5, 0, 0, 1, 0, 15, -11, -7, 0, 0, 2, 0, 1, 22, -15, -11, 0, 0, 3, 0, 1, 0, 30, -22, -15, 0, 0, 5, 0, 2, 0, 42, -30, -22, 0, 0, 7, 0, 3, 0, 0, 0, 56, -42, -30, 0, 0, 11, 0, 5, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row sums = [1, 0, 0, 0,...]. (a set of matrix operations equivalent to the comment in A010815 that "convolved with the partition numbers = [1, 0, 0, 0,...]. LINKS FORMULA Triangle read by rows, = (A027293 * (A010815 * 0^(n-k)); 0<=k<=n. A027293 = an infinite lower triangular matrix with A000041 in every column (the partition numbers). A010815 = (1, -1, -1, 0, 0, 1,...) EXAMPLE First few rows of the triangle = 1; 1, -1; 2, -1, -1; 3, -2, -1, 0; 5, -3, -2, 0, 0; 7, -5, -3, 0, 0, 1; 11, -7, -5, 0, 0, 1, 0; 15, -11, -7, 0, 0, 2, 0, 1; 22, -15, -11, 0, 0, 3, 0, 1, 0; 30, -22, -15, 0, 0, 5, 0, 2, 0, 0; 42, -30, -22, 0, 0, 7, 0, 3, 0, 0, 0; ... CROSSREFS A027293, Cf. A010815, A000041 Sequence in context: A127948 A177350 A190688 * A211028 A239001 A277648 Adjacent sequences:  A145972 A145973 A145974 * A145976 A145977 A145978 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Oct 25 2008 STATUS approved

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Last modified July 19 04:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)