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A305804 Möbius-transform of A078898. 3
1, 0, 0, 1, 0, 2, 0, 2, 1, 4, 0, 2, 0, 6, 2, 4, 0, 5, 0, 4, 3, 10, 0, 4, 1, 12, 3, 6, 0, 6, 0, 8, 5, 16, 2, 6, 0, 18, 6, 8, 0, 9, 0, 10, 4, 22, 0, 8, 1, 19, 8, 12, 0, 15, 3, 12, 9, 28, 0, 8, 0, 30, 6, 16, 4, 15, 0, 16, 11, 22, 0, 12, 0, 36, 9, 18, 2, 18, 0, 16, 9, 40, 0, 12, 5, 42, 14, 20, 0, 20, 3, 22, 15, 46, 6, 16, 0, 41, 10, 20, 0, 24, 0, 24, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

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

FORMULA

a(n) = Sum_{d|n} A008683(n/d)*A078898(d).

PROG

(PARI)

up_to = 65537;

ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om, invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om, invec[i], (1+pt))); outvec; };

A020639(n) = if(n>1, if(n>n=factor(n, 0)[1, 1], n, factor(n)[1, 1]), 1); \\ From A020639

v078898 = ordinal_transform(vector(up_to, n, A020639(n)));

A078898(n) = v078898[n];

A305804(n) = sumdiv(n, d, moebius(n/d)*A078898(d));

CROSSREFS

Cf. A008683, A078898, A305798, A305803.

Sequence in context: A197317 A035573 A295689 * A053470 A308202 A329152

Adjacent sequences: A305801 A305802 A305803 * A305805 A305806 A305807

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 13 2018

STATUS

approved

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Last modified January 27 17:42 EST 2023. Contains 359845 sequences. (Running on oeis4.)