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A167392
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Characteristic function of partition numbers.
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12
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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
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OFFSET
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0,1
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
Index entries for characteristic functions
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FORMULA
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a(A000041(n)) = 1; a(A167376(n)) = 0.
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Nov 03 2009
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STATUS
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approved
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