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Search: id:A100038
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| A100038 |
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Positions of occurrences of the natural numbers as third subsequence in A100035. |
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+0
10
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| 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
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OFFSET
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1,1
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COMMENT
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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).
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FORMULA
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2n^2 + 3n + 6 (conjectured). - Ralf Stephan, May 15 2007
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A120442 A059407 A109376 this_sequence A068600 A076851 A058497
Adjacent sequences: A100035 A100036 A100037 this_sequence A100039 A100040 A100041
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 31 2004
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