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A322994 Möbius transform of A322993. 5
0, 1, 1, 2, 1, 3, 1, 4, 2, 7, 1, 4, 1, 15, 3, 8, 1, 6, 1, 8, 7, 31, 1, 8, 2, 63, 4, 16, 1, 5, 1, 16, 15, 127, 3, 8, 1, 255, 31, 16, 1, 9, 1, 32, 4, 511, 1, 16, 2, 14, 63, 64, 1, 12, 7, 32, 127, 1023, 1, 8, 1, 2047, 8, 32, 15, 17, 1, 128, 255, 13, 1, 16, 1, 4095, 6, 256, 3, 33, 1, 32, 8, 8191, 1, 16, 31, 16383, 511, 64, 1, 12, 7, 512, 1023 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Möbius transform of A000265(A156552(n)).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..8192

FORMULA

a(n) = Sum_{d|n} A008683(n/d)*A322993(d).

PROG

(PARI)

A000265(n) = (n/2^valuation(n, 2));

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)};

A156552(n) = if(1==n, 0, if(!(n%2), 1+(2*A156552(n/2)), 2*A156552(A064989(n))));

A322993(n) = if(1==n, 0, A000265(A156552(n)));

A322994(n) = sumdiv(n, d, moebius(n/d)*A322993(d));

CROSSREFS

Cf. A000265, A008683, A156552, A297112, A322993.

Sequence in context: A007380 A319162 A029171 * A256147 A079786 A032451

Adjacent sequences:  A322991 A322992 A322993 * A322995 A322996 A322997

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 02 2019

STATUS

approved

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Last modified August 1 08:46 EDT 2021. Contains 346385 sequences. (Running on oeis4.)