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 A167392 Characteristic function of partition numbers. 12
 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 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, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 FORMULA a(A000041(n)) = 1; a(A167376(n)) = 0. MATHEMATICA nmax = 14; (* nmax=14 gives P(nmax)+1 = 136 terms; nmax=33 gives 10144 terms *) PP = Table[PartitionsP[n], {n, 0, nmax}]; a[n_] := Boole[MemberQ[PP, n]]; Table[a[n], {n, 0, PartitionsP[nmax]}] (* Jean-François Alcover, Mar 02 2019 *) PROG (PARI) a(n) = {k=0; while ((pk=numbpart(k)) != n, if (pk > n, return(0)); k++); return (1); } \\ Michel Marcus, Nov 03 2015 (Haskell) import Data.List.Ordered (member) a167392 = fromEnum . flip member a000041_list -- Reinhard Zumkeller, Nov 03 2015 CROSSREFS Cf. A167393. For n >= 1, column 1 of A186114, also right border of A193870. - Omar E. Pol, Aug 14 2011 Sequence in context: A159637 A095076 A285080 * A190201 A189702 A168395 Adjacent sequences:  A167389 A167390 A167391 * A167393 A167394 A167395 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 03 2009 STATUS approved

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Last modified December 5 22:37 EST 2019. Contains 329782 sequences. (Running on oeis4.)