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A293515 a(n) = Product_{d^k|n, d>1, k>1} prime(A286561(n,d)-1), where A286561(n,d) gives the highest exponent of d dividing n. 5
1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 10, 1, 2, 1, 2, 1, 1, 1, 3, 2, 1, 3, 2, 1, 1, 1, 14, 1, 1, 1, 8, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 10, 2, 2, 1, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 66, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 2, 2, 1, 1, 1, 10, 10, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 14, 1, 2, 2, 8, 1, 1, 1, 3, 1, 1, 1, 12, 1, 1, 1, 10, 1, 1, 1, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences computed from exponents in factorization of n

FORMULA

a(n) = Product_{d|n, d>1} A008578(A286561(n,d)).

a(n) = A064989(A293514(n)).

Other identities. For all n >= 1:

1 + A001222(a(n)) = A046951(n).

PROG

(PARI) A293515(n) = { my(m=1, v); fordiv(n, d, if(d>1, v = valuation(n, d); if(v>1, m *= prime(v-1)))); m; };

CROSSREFS

Cf. A000040, A008578, A286561.

Cf. A293514, A294875.

Cf. A046951.

Sequence in context: A321271 A305193 A038538 * A326622 A292777 A088529

Adjacent sequences:  A293512 A293513 A293514 * A293516 A293517 A293518

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 11 2017

STATUS

approved

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Last modified September 21 02:46 EDT 2020. Contains 337266 sequences. (Running on oeis4.)