A100039 Positions of occurrences of the natural numbers as fourth subsequence in A100035.

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

Offset: 1

Author

Reinhard Zumkeller, Oct 31 2004

Keywords

• nonn

Comments

n>1: A100035(a(n))=n and A100035(m)<>n for a(n-1)<=m

A100036(n) < A100037(n) < A100038(n) < a(n).

Examples

			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.
		

Formula

2n^2 + 7n + 13 (conjectured). - Ralf Stephan, May 15 2007

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