cp's OEIS Frontend

A356183 a(n) = A054406(A001952(n)).

%I A356183 #7 Mar 23 2025 18:39:58
%S A356183 7,14,23,30,40,47,54,63,70,80,87,94,104,111,120,127,137,144,151,160,
%T A356183 167,177,184,191,201,208,217,224,234,241,248,257,264,274,281,288,298,
%U A356183 305,314,321,328,338,345,354,362,371,378,385,395,402,411,418,425,435
%N A356183 a(n) = A054406(A001952(n)).
%C A356183 This is the fourth of four sequences that partition the positive integers. See A356180.
%e A356183 (1)  v o u = (1, 3, 6, 8, 12, 13, 15, 19, 20, 24, 25, 27, 31, 32, ...) = A356180
%e A356183 (2)  v' o u = (2, 4, 9, 11, 16, 18, 21, 26, 28, 33, 35, 37, 42, 44, ...) = A356181
%e A356183 (3)  v o u' = (5, 10, 17, 22, 29, 34, 39, 46, 51, 58, 64, 69, 76, ...) = A356182
%e A356183 (4)  v' o u' = (7, 14, 23, 30, 40, 47, 54, 63, 70, 80, 87, 94, 104, ...) = A356183
%t A356183 z = 800; zz = 100;
%t A356183 u = Table[Floor[n*Sqrt[2]], {n, 1, z}];  (* A001951 *)
%t A356183 u1 = Complement[Range[Max[u]], u];       (* A001952 *)
%t A356183 v = Table[Floor[n*Sqrt[3]], {n, 1, z}];  (* A022838 *)
%t A356183 v1 = Complement[Range[Max[v]], v];  (* A054406 *)
%t A356183 Table[v[[u[[n]]]], {n, 1, zz}]      (* A356180 *)
%t A356183 Table[v1[[u[[n]]]], {n, 1, zz}]     (* A356181 *)
%t A356183 Table[v[[u1[[n]]]], {n, 1, zz}]     (* A356182 *)
%t A356183 Table[v1[[u1[[n]]]], {n, 1, zz}]    (* A356183 *)
%Y A356183 Cf. A001951, A001952, A022838, A054406, A346308 (intersections), A356088 (reverse composites), A356180, A356181, A356182.
%K A356183 nonn,easy
%O A356183 1,1
%A A356183 _Clark Kimberling_, Aug 24 2022