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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
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).
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
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 31 2004
STATUS
approved