A010750 Shifts 6 places right under inverse binomial transform.

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

Offset

0,7

Links

Alois P. Heinz, Table of n, a(n) for n = 0..300

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 arXiv version]

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]

N. J. A. Sloane, Transforms

Maple

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

Mathematica

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 *)

Crossrefs

Column k=6 of A143983.

Sequence in context: A139102 A195187 A041515 * A373908 A026591 A007224

Adjacent sequences: A010747 A010748 A010749 * A010751 A010752 A010753

Keyword

nonn,eigen

Author

N. J. A. Sloane, Jonas Wallgren

Status

approved