A134286 Characteristic sequence for sequence A026905.

1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,1

Comments

This partition array is the member k=1 in the family M_0(k), with M_0(2)=M_0= A048996, M_0(3)= A134283, etc.

When read as partition array (tabf with sequence of row lengths given by the partition numbers A000041) in Abramowitz-Stegun order (see A117506 for the reference) a(n,k) is the characteristic partition array for the partition (1^n) of n.

Links

Table of n, a(n) for n=1..105.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Index entries for characteristic functions

Formula

a(n)=1 if n from A026905, else 0.

Mathematica

terms = 105; nmax = 10;
pp = PartitionsP[Range[nmax]] // Accumulate;
a[n_] := If[n > pp[[-1]], Print["nmax = ", nmax, " too small"], Boole[ MemberQ[ pp, n]]];
Array[a, terms] (* Jean-François Alcover, Jun 19 2019 *)

Crossrefs

Sequence in context: A341602 A128407 A363800 * A023531 A320841 A351725

Adjacent sequences: A134283 A134284 A134285 * A134287 A134288 A134289

Keyword

nonn,easy,tabf

Author

Wolfdieter Lang Nov 13 2007

Status

approved