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 A133088 A007318^(-1) * A133080. 0
 1, 0, 1, -1, -2, 1, 2, 3, -2, 1, -3, -4, 2, -4, 1, 4, 5, 0, 10, -4, 1, -5, -6, -5, -20, 9, -6, 1, 6, 7, 14, 35, -14, 21, -6, 1, -7, -8, -28, -56, 14, -56, 20, -8, 1, 8, 9, 48, 84, 0, 126, -48, 36, -8, 1, -9, -10, -75, -120, -42, -252, 90, -120, 35, -10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums = (1, 1, -2, 4, -8, 16, -32, 64,...) LINKS FORMULA Inverse binomial transform of A133080 EXAMPLE First few rows of the triangle are: 1; 0, 1; -1, -2, 1; 2, 3, -2, 1; -3, -4, 2, -4, 1; 4, 5, 0, 10, -4, 1; -5, -6, -5, -20, 9, -6, 1; ... PROG (PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t133080 = matrix(nn, nn, n, k, if (k==n, 1, if (k == (n-1), 1 - (n % 2), 0))); t133088 = t007318^(-1)*t133080; for (n = 1, nn, for (k = 1, n, print1(t133088[n, k], ", "); ); print(); ); } \\ Michel Marcus, Feb 13 2014 CROSSREFS Cf. A133080, A007318. Sequence in context: A002850 A111944 A109814 * A059982 A187801 A134388 Adjacent sequences:  A133085 A133086 A133087 * A133089 A133090 A133091 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Sep 08 2007 EXTENSIONS Typo corrected by Travis Hoppe, Apr 24 2008 One term sign corrected by Michel Marcus, Feb 13 2014 STATUS approved

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Last modified May 9 03:59 EDT 2021. Contains 343685 sequences. (Running on oeis4.)