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 A185916 Weight array of A185914, by antidiagonals. 3
 1, 1, -1, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS A member of the accumulation chain ... < A185916 < A185914 < A185915 < ... (See A144112 for definitions of weight array and accumulation array.) LINKS G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened FORMULA T(1,k)=1 for k>=1; T(n,n+1)=-1 for n>=2; T(n,k)=0 otherwise; for k>=1, n>=1. EXAMPLE Northwest corner: 1, 1, 1, 1, 1, 1, 1 -1, 0, 0, 0, 0, 0, 0 0, -1, 0, 0, 0, 0, 0 0, 0, -1, 0, 0, 0, 0 0, 0, 0, -1, 0, 0, 0 0, 0, 0, 0, -1, 0, 0 MATHEMATICA f[n_, 0] := 0; f[0, k_] := 0; f[n_, k_] := k - n + 1; f[n_, k_] := 0 /; k < n; w[m_, n_] := f[m, n] + f[m - 1, n - 1] - f[m, n - 1] - f[m - 1, n] /; Or[m > 0, n > 0]; Table[w[n - k + 1, k], {n, 50}, {k, n, 1, -1}] // Flatten CROSSREFS Cf. A115359, A144112, A185914, A185915. Sequence in context: A302203 A130657 A347871 * A084846 A285498 A285504 Adjacent sequences: A185913 A185914 A185915 * A185917 A185918 A185919 KEYWORD tabl,sign AUTHOR Clark Kimberling, Feb 06 2011 STATUS approved

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Last modified April 24 15:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)