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a(n) = (A088349(n)-5)/24.
2

%I #8 May 07 2022 09:26:29

%S 0,1,7,10,15,31,43,61,91,142,157,186,213,250,259,319,367,373,375,463,

%T 547,618,751,853,874,922,942,949,1117,1230,1237,1258,1279,1306,1311,

%U 1501,1555,1678,1885,1887,1914,1959,2203,2238,2251,2446,2554,2623,2650

%N a(n) = (A088349(n)-5)/24.

%H Amiram Eldar, <a href="/A088350/b088350.txt">Table of n, a(n) for n = 1..1000</a>

%t seq[max_] := Module[{s = Flatten[NestWhileList[Flatten[{2*# + 1, 3*# + 1}] &, 1, Min[#1] < max &]], t, u, v}, t = Union[Select[s, # <= max &]]; u = Select[t, MemberQ[t, (# - 1)/2] && MemberQ[t, (# - 1)/3] &]; v = (u - 1)/6; (v - 5)/24]; seq[400000] (* _Amiram Eldar_, May 07 2022 *)

%Y Cf. A002977, A085249, A088349.

%K nonn

%O 1,3

%A _Ray Chandler_, Sep 26 2003