A391936 a(n) = Sum_{i=1..A328404(n)} (A276086(n) mod prime(i))*A002110(i-1), where A276086 is the primorial base exp-function, and A328404(n) gives the length of A276086(n) in primorial base representation.

1, 4, 1, 6, 25, 18, 5, 2, 1, 60, 91, 180, 3, 34, 151, 90, 1081, 2160, 185, 1832, 331, 450, 781, 1350, 1953, 1594, 1231, 16110, 21751, 13260, 15, 28, 7, 12, 19, 6, 5, 2, 1, 210, 1471, 630, 3, 1894, 1681, 1050, 421, 10080, 1265, 212, 29191, 26040, 25201, 18060, 17853, 3364, 18901, 7770, 116761, 201180, 27, 22, 13

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..32588

Index entries for sequences related to primorial base.

Formula

a(n) = A391930(A328404(n), A276086(n)).

a(A143293(n)-1) = 1.

A000035(a(n)) = 1 - A000035(n).

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A391936(n) = { my(x=A276086(n), m=1, s=0); for(i=1, oo, if(m>x, return(s)); s +=  (x%prime(i))*m; m *= prime(i)); };

Crossrefs

Cf. A000035, A002110, A143293, A276086, A328404, A391930, A391935, A391937 [k for which a(k) == A276086(k)].

Sequence in context: A191714 A370356 A126150 * A374370 A364509 A349545

Adjacent sequences: A391933 A391934 A391935 * A391937 A391938 A391939

Keyword

nonn,base

Author

Antti Karttunen, Jan 06 2026

Status

approved