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A071014 Binomial transform of A002487. 0
1, 3, 6, 13, 29, 64, 137, 285, 584, 1197, 2479, 5198, 10989, 23275, 49122, 102951, 213915, 440478, 899177, 1821577, 3668080, 7358199, 14742653, 29582240, 59593613, 120742119, 246254254, 505494077, 1043327165, 2161750892, 4488143133, 9319949375, 19326922734 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The transform omits the initial two terms 0, 1 of A002487. - Georg Fischer, Oct 15 2021

LINKS

Table of n, a(n) for n=1..33.

N. J. A. Sloane, Transforms

MAPLE

b:= proc(n) option remember; `if`(n<2, n,

      (q-> b(q)+(n-2*q)*b(n-q))(iquo(n, 2)))

    end:

a:= n-> add(b(n+2-j)*binomial(n-1, j-1), j=1..n):

seq(a(n), n=1..33);  # Alois P. Heinz, Oct 15 2021

MATHEMATICA

b[n_] := b[n] = If[n < 2, n,

     With[{q = Quotient[n, 2]}, b[q] + (n-2*q)*b[n-q]]];

a[n_] := Sum[b[n+2-j]*Binomial[n-1, j-1], {j, 1, n}];

Table[a[n], {n, 1, 33}] (* Jean-Fran├žois Alcover, Apr 25 2022, after Alois P. Heinz *)

CROSSREFS

Sequence in context: A002478 A106496 A052933 * A214260 A078061 A018909

Adjacent sequences:  A071011 A071012 A071013 * A071015 A071016 A071017

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 24 2002

STATUS

approved

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Last modified August 14 06:54 EDT 2022. Contains 356110 sequences. (Running on oeis4.)