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 A132815 A007318^(-1) * A132814. 1
 1, -1, 2, 1, -2, 3, -1, 0, 0, 4, 1, 4, -12, 8, 5, -1, -10, 30, -40, 25, 6, 1, 18, -45, 60, -75, 54, 7, -1, -28, 42, 0, 0, -84, 98, 8, 1, 40, 0, -224, 420, -336, 0, 160, 9, -1, -54, -108, 672, -1260, 1512, -1176, 288, 243, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row sums = A001405: (1, 1, 2, 3, 6, 10, 10,...). LINKS FORMULA Inverse binomial transform of A132814. EXAMPLE First few rows of the triangle are: 1; -1, 2; 1, -2, 3; -1, 0, 0, 4; 1, 4, -12, 8, 5; -1, -10, 30, -240, 25, 6; 1, 18, -45, 60, -75, 54, 7; ... PROG (PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; t132815 = t007318^(-1)*t132814; for (n=1, nn, for (k=1, n, print1(t132815[n, k], ", "); ); ); } \\ Michel Marcus, Feb 12 2014 CROSSREFS Cf. A132814, A001405. Sequence in context: A317441 A249777 A289065 * A167684 A094646 A124448 Adjacent sequences:  A132812 A132813 A132814 * A132816 A132817 A132818 KEYWORD tabl,easy,sign AUTHOR Gary W. Adamson, Sep 01 2007 EXTENSIONS Typo corrected by Travis Hoppe, Apr 24 2008 T(5, 1) corrected by Michel Marcus, Feb 12 2014 STATUS approved

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Last modified September 21 02:23 EDT 2020. Contains 337266 sequences. (Running on oeis4.)