A122485 Values of A083097(k) such that A083097(k) = A083097(k+1) - 1.

5, 14, 41, 59, 122, 140, 167, 176, 365, 383, 410, 419, 491, 500, 527, 545, 1094, 1112, 1139, 1148, 1220, 1229, 1256, 1274, 1463, 1472, 1499, 1517, 1580, 1598, 1625, 1634, 3281, 3299, 3326, 3335, 3407, 3416, 3443, 3461, 3650, 3659, 3686, 3704, 3767, 3785, 3812

Offset: 1

Author

Alexander Adamchuk, Sep 15 2006

Keywords

• nonn

Comments

A083097(n) = A083095(n) = A083096(n)/6 = A083094(n)/4, where A083096 are the Numbers k such that 3 divides Sum_{j=1..k} C(2*j,j) = A066796(k).

All terms are of the form 9*m + 5 and belong to A017221 with m = {0, 1, 4, 6, 13, 15, 18, 19, 40, 42, ...}.

Corresponding numbers m such that a(m) = A083097(m) are A129771 (evil odd numbers).

Examples

			A083097 begins {0, 2, 5, 6, 14, 15, 18, 20, 41, 42, 45, 47, 54, 56, 59, 60, ...}.
So a(1) = 5 because 5 = A083097(3) = A083097(3+1) - 1.
a(2) = 14 because 14 = A083097(5) = A083097(5+1) - 1.
		

Crossrefs

Cf. A000069, A000120, A066796, A083094, A083095, A083096, A083097, A010060, A129771.

Formula

a(n) = A083097(A129771(n)).

Extensions

More terms from R. J. Mathar, Jan 17 2008

More terms from Jinyuan Wang, Jan 22 2022

Edited by Michel Marcus, Jan 22 2022