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A328766 Number of nonleading zeros in primorial base expansion of A276086(n). 4

%I #9 Oct 28 2019 20:00:46

%S 0,1,0,2,0,2,0,1,0,3,0,3,1,1,0,3,1,3,1,1,0,3,0,3,1,1,0,3,0,3,1,1,0,2,

%T 1,2,1,1,0,4,0,4,1,1,0,4,0,4,1,1,0,4,0,4,1,1,0,4,1,4,1,1,0,2,1,2,1,1,

%U 0,4,0,4,1,2,0,4,0,4,1,1,0,4,0,4,2,2,1,4,0,4,1,1,0,2,0,2,1,1,0,4,0,5,1,1,0,4

%N Number of nonleading zeros in primorial base expansion of A276086(n).

%H Antti Karttunen, <a href="/A328766/b328766.txt">Table of n, a(n) for n = 0..32768</a>

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

%F a(n) = A328620(A276086(n)) = A079067(A276087(n)).

%F a(n) = A001221(A328763(n)) - 1.

%F For all n >= 1, a(A143293(n-1)) = n. [Note however that these are not the first occurrences of each n, that is, A143293 does not give the indices of records]

%o (PARI)

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

%o A328620(n) = { my(s=0, p=2); while(n, s += (0==(n%p)); n = n\p; p = nextprime(1+p)); (s); };

%o A328766(n) = A328620(A276086(n));

%Y Cf. A079067, A143293, A276086, A276087, A328620, A328763.

%Y Cf. also A328578.

%K nonn

%O 0,4

%A _Antti Karttunen_, Oct 28 2019

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Last modified August 12 19:26 EDT 2024. Contains 375113 sequences. (Running on oeis4.)