cp's OEIS Frontend

A356140 a(n) = A137803(A001952(n)).

%I A356140 #14 Mar 23 2025 04:34:24
%S A356140 5,11,19,24,32,38,44,51,57,65,70,76,84,89,97,103,111,116,122,130,135,
%T A356140 143,149,155,162,168,176,181,189,195,200,208,214,222,227,233,241,246,
%U A356140 254,260,266,273,279,287,292,300,306,312,319,325,333,338,344,352,357
%N A356140 a(n) = A137803(A001952(n)).
%C A356140 This is the third of four sequences that partition the positive integers. See A356138.
%e A356140 (1)  v o u   = (1,  3,  7,  9, 13, 15, 17, 21, 22, 26, 28, 30, 34, ...) = A356138
%e A356140 (2)  v' o u  = (2,  4,  8, 10, 14, 16, 18, 23, 25, 29, 31, 33, 37, ...) = A356139
%e A356140 (3)  v o u'  = (5, 11, 19, 24, 32, 38, 44, 51, 57, 65, 70, 76, 84, ...) = A356140
%e A356140 (4)  v' o u' = (6, 12, 20, 27, 35, 41, 48, 56, 62, 71, 77, 83, 92, ...) = A356141
%t A356140 z = 800;
%t A356140 u = Table[Floor[n (Sqrt[2])], {n, 1, z}];   (*A001951*)
%t A356140 u1 = Complement[Range[Max[u]], u] ;    (*A001952*)
%t A356140 v = Table[Floor[n (1/2 + Sqrt[2])], {n, 1, z}];  (*A137803*)
%t A356140 v1 = Complement[Range[Max[v]], v] ;     (*A137804*)
%t A356140 Table[v[[u[[n]]]], {n, 1, z/8}]   (*A356138 *)
%t A356140 Table[v1[[u[[n]]]], {n, 1, z/8}]  (* A356139*)
%t A356140 Table[v[[u1[[n]]]], {n, 1, z/8}]  (* A356140 *)
%t A356140 Table[v1[[u1[[n]]]], {n, 1, z/8}] (* A356141 *)
%Y A356140 Cf. A001951, A001952, A137804.
%Y A356140 Cf. A356056, A356057, A356058, A356059, A356138, A356139, A356141.
%K A356140 nonn,easy
%O A356140 1,1
%A A356140 _Clark Kimberling_, Aug 06 2022