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A010750
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Shifts 6 places right under inverse binomial transform.
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3
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1, 1, 1, 1, 1, 1, 2, 9, 38, 131, 387, 1025, 2512, 5834, 13152, 29805, 71858, 197325, 635938, 2311865, 8867078, 34201676, 129669923, 479650565, 1731405819, 6124746296, 21382533684, 74413732788, 261584276096, 943601869926, 3547521313455, 14045005473985
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OFFSET
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0,7
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
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MAPLE
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T:= proc(n, k) option remember; `if`(n<k, `if`(n=0, 1, 0), add(binomial(n-k, j) *T(j, k), j=0..n-k)) end: a:= n-> T(n+6, 6): seq(a(n), n=0..30); # Alois P. Heinz, Sep 05 2008
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MATHEMATICA
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T[n_, k_] := T[n, k] = If[n < k, If[n == 0, 1, 0], Sum[Binomial[n-k, j]*T[j, k], {j, 0, n-k}]]; a[n_] := T[n+6, 6]; Table[a[n], {n, 0, 31}] (* Jean-François Alcover, Apr 17 2014, after Alois P. Heinz *)
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CROSSREFS
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KEYWORD
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nonn,eigen
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AUTHOR
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STATUS
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approved
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