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A122485 Values of A083097(k) such that A083097(k) = A083097(k+1) - 1. 2

%I #14 Jan 25 2022 13:56:50

%S 5,14,41,59,122,140,167,176,365,383,410,419,491,500,527,545,1094,1112,

%T 1139,1148,1220,1229,1256,1274,1463,1472,1499,1517,1580,1598,1625,

%U 1634,3281,3299,3326,3335,3407,3416,3443,3461,3650,3659,3686,3704,3767,3785,3812

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

%C 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).

%C 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, ...}.

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

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

%e A083097 begins {0, 2, 5, 6, 14, 15, 18, 20, 41, 42, 45, 47, 54, 56, 59, 60, ...}.

%e So a(1) = 5 because 5 = A083097(3) = A083097(3+1) - 1.

%e a(2) = 14 because 14 = A083097(5) = A083097(5+1) - 1.

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

%K nonn

%O 1,1

%A _Alexander Adamchuk_, Sep 15 2006

%E More terms from _R. J. Mathar_, Jan 17 2008

%E More terms from _Jinyuan Wang_, Jan 22 2022

%E Edited by _Michel Marcus_, Jan 22 2022

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)