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A329034 Möbius transform of A122111. 2
1, 1, 3, 1, 7, 1, 15, 2, 5, 3, 31, 3, 63, 7, 7, 2, 127, 4, 255, 7, 17, 15, 511, 2, 19, 31, 16, 15, 1023, 7, 2047, 4, 37, 63, 31, 2, 4095, 127, 77, 6, 8191, 15, 16383, 31, 27, 255, 32767, 6, 65, 14, 157, 63, 65535, 4, 69, 14, 317, 511, 131071, 1, 262143, 1023, 59, 2, 145, 31, 524287, 127, 637, 25, 1048575, 8, 2097151, 2047, 38, 255, 115, 63 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(144) = -2 is the first negative term.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..4096

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = Sum_{d|n} A008683(n/d)*A122111(d).

PROG

(PARI)

A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};

A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));

A329034(n) = sumdiv(n, d, moebius(n/d)*A122111(d));

CROSSREFS

Cf. A008683, A122111, A329035.

Cf. also A297112.

Sequence in context: A205479 A094024 A297172 * A290678 A290422 A278954

Adjacent sequences:  A329031 A329032 A329033 * A329035 A329036 A329037

KEYWORD

sign

AUTHOR

Antti Karttunen, Nov 08 2019

STATUS

approved

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Last modified February 21 20:35 EST 2020. Contains 332111 sequences. (Running on oeis4.)