A010748 - OEIS

A010748

Shifts 4 places right under inverse binomial transform.

1, 1, 1, 1, 2, 7, 23, 65, 165, 398, 976, 2618, 7997, 27205, 97705, 355631, 1289746, 4662069, 16971775, 63150385, 243513801, 980670052, 4121324752, 17941655332, 80143362633, 364476958473, 1680382664145, 7847729640629, 37192941056498, 179431901258459

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OFFSET

0,5

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; local j; if n<k then if n=0 then 1 else 0 fi else add(binomial(n-k, j) *T(j, k), j=0..n-k) fi end: a:= n-> T(n+4, 4): 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+4, 4]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Mar 30 2015, after Alois P. Heinz *)

CROSSREFS

Column k=4 of A143983 (using a different offset).

Sequence in context: A281584 A230315 A228629 * A272819 A185250 A048496

Adjacent sequences: A010745 A010746 A010747 * A010749 A010750 A010751

KEYWORD

nonn,eigen

AUTHOR

N. J. A. Sloane, Jonas Wallgren

STATUS

approved