cp's OEIS Frontend

A100038 Positions of occurrences of the natural numbers as third subsequence in A100035.

%I A100038 #14 Jul 18 2017 01:57:37
%S A100038 11,20,33,50,71,96,125,158,195,236,281,330,383,440,501,566,635,708,
%T A100038 785,866,951,1040,1133,1230,1331,1436,1545,1658,1775,1896,2021,2150,
%U A100038 2283,2420,2561,2706,2855,3008,3165,3326,3491,3660,3833,4010,4191,4376,4565
%N A100038 Positions of occurrences of the natural numbers as third subsequence in A100035.
%C A100038 n>1: A100035(a(n))=n and A100035(m)<>n for a(n-1)<=m<a(n);
%C A100038 A100036(n) < A100037(n) < a(n) < A100039(n).
%F A100038 a(n) = 2*n^2 + 3*n + 6 (conjectured). - _Ralf Stephan_, May 15 2007
%e A100038 First terms (10=A,11=B,12=C) of A100035(a(n)):
%e A100038 ..........1........2............3................4...
%e A100038 1231435425165764736271879869584938291A9BA8B7A6B5A4B3A2B1;
%e A100038 a(1) = A084849(3) = 11, A100035(11) = 1;
%e A100038 a(2) = A014107(3) = 20, A100035(20) = 2;
%e A100038 a(3) = A033537(4) = 33, A100035(33) = 3;
%e A100038 a(4) = A100040(5) = 50, A100035(50) = 4;
%e A100038 a(5) = A100041(6) = 71, A100035(71) = 5.
%Y A100038 Cf. A100037.
%K A100038 nonn
%O A100038 1,1
%A A100038 _Reinhard Zumkeller_, Oct 31 2004