

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(n1)<=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 * A160843 A153368 A068600
Adjacent sequences: A100035 A100036 A100037 * A100039 A100040 A100041


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Oct 31 2004


STATUS

approved



