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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A100038 Positions of occurrences of the natural numbers as third subsequence in A100035. 18 11, 20, 33, 50, 71, 96, 125, 158, 195, 236, 281, 330, 383, 440, 501, 566, 635, 708, 785, 866, 951, 1040, 1133, 1230, 1331, 1436, 1545, 1658, 1775, 1896, 2021, 2150, 2283, 2420, 2561, 2706, 2855, 3008, 3165, 3326, 3491, 3660, 3833, 4010, 4191, 4376, 4565 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 COMMENTS n>1: A100035(a(n))=n and A100035(m)<>n for a(n-1)<=m<a(n); A100036(n) < A100037(n) < a(n) < A100039(n). LINKS Table of n, a(n) for n=1..47. FORMULA a(n) = 2*n^2 + 3*n + 6 (conjectured). - Ralf Stephan, May 15 2007 EXAMPLE First terms (10=A,11=B,12=C) of A100035(a(n)): ..........1........2............3................4... 1231435425165764736271879869584938291A9BA8B7A6B5A4B3A2B1; a(1) = A084849(3) = 11, A100035(11) = 1; a(2) = A014107(3) = 20, A100035(20) = 2; a(3) = A033537(4) = 33, A100035(33) = 3; a(4) = A100040(5) = 50, A100035(50) = 4; a(5) = A100041(6) = 71, A100035(71) = 5. CROSSREFS Cf. A100037. Sequence in context: A120442 A059407 A109376 * A370917 A160843 A153368 Adjacent sequences: A100035 A100036 A100037 * A100039 A100040 A100041 KEYWORD nonn AUTHOR Reinhard Zumkeller, Oct 31 2004 STATUS approved

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Last modified July 18 17:25 EDT 2024. Contains 374388 sequences. (Running on oeis4.)