%I #14 Nov 14 2021 01:26:56

%S 0,1,1,6,7,30,1,8,9,42,51,198,11,58,69,282,351,1278,91,398,489,1842,

%T 2331,8118,671,2638,3309,11802,15111,50958,1,10,11,54,65,258,13,74,87,

%U 366,453,1674,113,514,627,2406,3033,10674,853,3434,4287,15486,19773,67194,5993,22354,28347,98166,126513,418914,15,94,109

%N a(n) = A348507(A276086(n)), where A348507(n) = A003959(n) - n, A003959 is multiplicative with a(p^e) = (p+1)^e, and A276086 gives the prime product form of primorial base expansion of n.

%H Antti Karttunen, <a href="/A348950/b348950.txt">Table of n, a(n) for n = 0..11550</a>

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

%F a(n) = A348949(n) - A276086(n) = A348507(A276086(n)).

%o (PARI)

%o A003959(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1]++); factorback(f); };

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A348507(n) = (A003959(n) - n);

%o A348950(n) = A348507(A276086(n));

%o (PARI) A348950(n) = { my(m1=1, m2=1, p=2); while(n, m1 *= (p^(n%p)); m2 *= ((1+p)^(n%p)); n = n\p; p = nextprime(1+p)); (m2-m1); };

%Y Cf. A003959, A276086, A348507, A348949, A348999.

%Y Cf. also A327860.

%K nonn,base

%O 0,4

%A _Antti Karttunen_, Nov 06 2021