A294650 -id:A294650

Search: a294650 -id:a294650

Displaying 1-1 of 1 result found.

page 1

A294649

a(n) = numerator(A206369(n))/n.

+0
3

1, 1, 2, 3, 4, 1, 6, 5, 7, 2, 10, 1, 12, 3, 8, 11, 16, 7, 18, 3, 4, 5, 22, 5, 21, 6, 20, 9, 28, 4, 30, 21, 20, 8, 24, 7, 36, 9, 8, 1, 40, 2, 42, 15, 28, 11, 46, 11, 43, 21, 32, 9, 52, 10, 8, 15, 12, 14, 58, 2, 60, 15, 2, 43, 48, 10, 66, 12, 44, 12, 70, 35, 72, 18, 14

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

a(n) = 1 for n in A127724.

LINKS

Michel Marcus, Table of n, a(n) for n = 1..10000

László Tóth, A survey of the alternating sum-of-divisors function, arXiv:1111.4842 [math.NT], 2011-2014.

MATHEMATICA

(* b = A209369 *) b[n_] := n*DivisorSum[n, LiouvilleLambda[#]/# &];

a[n_] := Numerator[b[n]/n];

Array[a, 100] (* Jean-François Alcover, Dec 04 2017 *)

PROG

(PARI) rhope(p, e) = my(s=1); for(i=1, e, s=s*p + (-1)^i); s;

rho(n) = my(f=factor(n)); prod(i=1, #f~, rhope(f[i, 1], f[i, 2]));

a(n) = numerator(rho(n)/n);

CROSSREFS

Cf. A127724 (k-imperfect), A206369, A294650 (denominator).

A225679 is a subsequence (on squarefree indices). - Michel Marcus, Dec 22 2017

KEYWORD

nonn,frac

AUTHOR

Michel Marcus, Nov 06 2017

STATUS

approved

page 1

Search completed in 0.020 seconds