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 A172371 Cubic recursion antidiagonal triangle sequence: f(n,a) = a*f(n-2,a) + f(n-3,a). 0
 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 0, 1, 1, 4, 4, 5, 3, 0, 1, 1, 5, 5, 10, 8, 4, 0, 1, 1, 6, 6, 17, 15, 13, 5, 0, 1, 1, 7, 7, 26, 24, 34, 21, 7 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,14 COMMENTS Row sums are {0, 1, 2, 3, 6, 10, 18, 34, 64, 128, ...}. LINKS FORMULA f(n,a) = a*f(n-2,a) + f(n-3,a); Output(n,a) = antidiagonal(f(n,a)). EXAMPLE {0}, {0, 1}, {0, 1, 1}, {0, 1, 1, 1}, {0, 1, 1, 2, 2}, {0, 1, 1, 3, 3, 2}, {0, 1, 1, 4, 4, 5, 3}, {0, 1, 1, 5, 5, 10, 8, 4}, {0, 1, 1, 6, 6, 17, 15, 13, 5}, {0, 1, 1, 7, 7, 26, 24, 34, 21, 7} MATHEMATICA f[0, a_] := 0; f[1, a_] := 1; f[2, a_] := 1; f[n_, a_] := f[n, a] = a*f[n - 2, a] + f[n - 3, a]; m1 = Table[f[n, a], {n, 0, 10}, {a, 1, 11}]; Table[Table[m1[[m, n - m + 1]], {m, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Sequence in context: A306910 A112185 A192062 * A279006 A112555 A108561 Adjacent sequences:  A172368 A172369 A172370 * A172372 A172373 A172374 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Feb 01 2010 STATUS approved

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Last modified June 20 00:47 EDT 2019. Contains 324223 sequences. (Running on oeis4.)