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Numbers obtained by reinterpreting base-2 representation of odd numbers in primorial base.
5

%I #13 Oct 18 2019 21:28:55

%S 1,3,7,9,31,33,37,39,211,213,217,219,241,243,247,249,2311,2313,2317,

%T 2319,2341,2343,2347,2349,2521,2523,2527,2529,2551,2553,2557,2559,

%U 30031,30033,30037,30039,30061,30063,30067,30069,30241,30243,30247,30249,30271,30273,30277,30279,32341,32343,32347,32349,32371,32373

%N Numbers obtained by reinterpreting base-2 representation of odd numbers in primorial base.

%H Antti Karttunen, <a href="/A328462/b328462.txt">Table of n, a(n) for n = 1..8192</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%o (PARI)

%o A276156(n) = { my(p=2,pr=1,s=0); while(n,if(n%2,s += pr); n >>= 1; pr *= p; p = nextprime(1+p)); (s); };

%o A328462(n) = A276156(n+n-1);

%Y Cf. A002110, A007814.

%Y Row 1 of A328464, odd bisection of A276156 and of A328461.

%Y Cf. A143293 (subsequence).

%K nonn,base

%O 1,2

%A _Antti Karttunen_, Oct 16 2019