A346475 - OEIS

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A346475

a(n) = A342919(A276086(n)).

4

0, 1, 1, 5, 1, 7, 1, 7, 1, 31, 13, 41, 1, 1, 11, 37, 2, 47, 1, 11, 7, 43, 19, 53, 2, 13, 17, 49, 11, 59, 1, 3, 5, 41, 17, 55, 1, 59, 71, 247, 53, 317, 19, 73, 23, 289, 127, 359, 13, 29, 113, 331, 37, 401, 11, 101, 67, 373, 169, 443, 1, 11, 13, 47, 5, 61, 17, 23, 43, 277, 121, 347, 1, 83, 107, 319, 71, 389, 31, 97, 2, 361, 163

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

For n >= 1, each term a(n) is a divisor of A342002(n).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..13860

Index entries for sequences related to primorial base

FORMULA

a(n) = A342919(A276086(n)).

a(n) = A327860(n) / gcd(A327860(n), A346470(n)).

PROG

(PARI)

A001615(n) = if(1==n, n, my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1))); \\ After code in A001615

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

A342919(n) = { my(u=A003415(n)); (u/gcd(u, A001615(n))); };

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

A346475(n) = A342919(A276086(n));

CROSSREFS

Cf. A001615, A003415, A276086, A327860, A342919, A346470, A346471.

Cf. also A342002, A345930, A346474 for sequences with similar scatter plots.

Sequence in context: A086892 A284150 A318676 * A346474 A353574 A265293

Adjacent sequences: A346472 A346473 A346474 * A346476 A346477 A346478

KEYWORD

nonn,base,look

AUTHOR

Antti Karttunen, Jul 21 2021

STATUS

approved