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A346249 Möbius transform of A337549. 2
0, 0, 1, 2, 1, 1, 3, 8, 10, 1, 1, 8, 3, 3, 7, 28, 1, 10, 3, 12, 15, 1, 5, 28, 16, 3, 62, 24, 1, 7, 5, 92, 13, 1, 21, 52, 3, 3, 21, 44, 1, 15, 3, 24, 56, 5, 5, 92, 58, 16, 19, 36, 5, 62, 15, 84, 27, 1, 1, 44, 5, 5, 108, 292, 27, 13, 3, 36, 37, 21, 1, 168, 5, 3, 68, 48, 39, 21, 3, 148, 346, 1, 5, 84, 21, 3, 31, 92, 7, 56 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..90.

Index entries for primes, gaps between

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = A008683(n/d) * A337549(d).

PROG

(PARI)

A003972(n) = { my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); eulerphi(factorback(f)); };

A337549(n) = (A003972(n) - n);

A346249(n) = sumdiv(n, d, moebius(n/d)*A337549(d));

CROSSREFS

Cf. A000010, A003961, A003972, A008683, A337549.

Sequences A001359, A029710, A031924 give the subsets of positions of 1's, 3's and 5's in this sequence.

Sequence in context: A333988 A195805 A293908 * A235453 A219206 A077385

Adjacent sequences:  A346246 A346247 A346248 * A346250 A346251 A346252

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jul 14 2021

STATUS

approved

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Last modified October 27 22:24 EDT 2021. Contains 348305 sequences. (Running on oeis4.)