A346252 - OEIS

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A346252

a(n) = A342002(A328622(n)).

4

0, 1, 2, 7, 1, 5, 2, 9, 16, 47, 11, 37, 4, 13, 22, 59, 17, 49, 1, 7, 13, 41, 8, 31, 3, 11, 19, 53, 14, 43, 2, 11, 20, 61, 13, 47, 24, 83, 142, 389, 107, 319, 38, 111, 184, 473, 149, 403, 17, 69, 121, 347, 86, 277, 31, 97, 163, 431, 128, 361, 4, 15, 26, 73, 19, 59, 34, 103, 172, 449, 137, 379, 48, 131, 214, 533, 179, 463, 27, 89

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OFFSET

0,3

LINKS

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

Index entries for sequences related to primorial base

FORMULA

a(n) = A342001(A346102(n)) = A342002(A328622(n)).

PROG

(PARI)

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

A003557(n) = (n/factorback(factorint(n)[, 1]));

A342001(n) = (A003415(n) / A003557(n));

A346102(n) = { my(m=1, p=2); while(n, m *= (p^((((p%2)+1)*n)%p)); n = n\p; p = nextprime(1+p)); (m); };

A346252(n) = A342001(A346102(n));

(PARI)

A342002(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= p^(e>0); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };

A346252(n) = A342002(A328622(n)); \\ Rest of program in A328622.

CROSSREFS

Cf. A003415, A003557, A276086, A328622, A342001, A342002, A346102.

Cf. also A344760, A346253.

Sequence in context: A065254 A010592 A096381 * A346253 A351953 A371838

Adjacent sequences: A346249 A346250 A346251 * A346253 A346254 A346255

KEYWORD

nonn,base,look

AUTHOR

Antti Karttunen, Jul 11 2021

STATUS

approved