%I #7 Jun 19 2019 10:32:21
%S 1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
%T 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,
%U 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
%N The Partition Ruler
%C a(k) = 1 if k = A000070(n) - 1 for some n >= 0 otherwise 0.
%C Is this the same as A134286? - _N. J. A. Sloane_, Feb 02 2009
%e .1,
%e .1,
%e .0, 1,
%e .0, 0, 1,
%e .0, 0, 0, 0, 1,
%t a70[n_] := a70[n] = PartitionsP[Range[0, n]] // Total;
%t a[k_] := AnyTrue[Range[0, k], k == a70[#]-1&] // Boole;
%t Table[a[k], {k, 0, 96}] (* _Jean-François Alcover_, Jun 19 2019 *)
%Y Cf. A000070, A000041.
%K nonn,tabf
%O 0,1
%A _Peter Luschny_, Jan 31 2009