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Search: id:A100039
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| A100039 |
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Positions of occurrences of the natural numbers as fourth subsequence in A100035. |
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+0
10
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| 22, 35, 52, 73, 98, 127, 160, 197, 238, 283, 332, 385, 442, 503, 568, 637, 710, 787, 868, 953, 1042, 1135, 1232, 1333, 1438, 1547, 1660, 1777, 1898, 2023, 2152, 2285, 2422, 2563, 2708, 2857, 3010, 3167, 3328, 3493, 3662, 3835, 4012, 4193, 4378, 4567, 4760
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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) < A100038(n) < a(n).
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FORMULA
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2n^2 + 7n + 13 (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....
1231435425165764736271879869584938291A9BA8B7A6B5A4B3A2B1;
a(1) = A084849(4) = 22, A100035(22) = 1;
a(2) = A014107(4) = 35, A100035(35) = 2;
a(3) = A033537(5) = 52, A100035(52) = 3;
a(4) = A100040(6) = 73, A100035(73) = 4;
a(5) = A100041(7) = 98, A100035(98) = 5.
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CROSSREFS
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Sequence in context: A125526 A124317 A159518 this_sequence A061561 A167277 A084141
Adjacent sequences: A100036 A100037 A100038 this_sequence A100040 A100041 A100042
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 31 2004
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