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A126594 Floor of the average of the prime factors of n with multiplicity. 0
2, 3, 2, 5, 2, 7, 2, 3, 3, 11, 2, 13, 4, 4, 2, 17, 2, 19, 3, 5, 6, 23, 2, 5, 7, 3, 3, 29, 3, 31, 2, 7, 9, 6, 2, 37, 10, 8, 2, 41, 4, 43, 5, 3, 12, 47, 2, 7, 4, 10, 5, 53, 2, 8, 3, 11, 15, 59, 3, 61, 16, 4, 2, 9, 5, 67, 7, 13, 4, 71, 2, 73, 19, 4, 7, 9, 6, 79, 2, 3, 21, 83, 3, 11, 22, 16, 4, 89, 3, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..91.

FORMULA

a(p^n)=p, p prime, n>=1 . [From Philippe Deléham, Nov 23 2008]

a(n)=Floor(A001414(n)/A001222(n)). [From Philippe Deléham, Nov 24 2008]

MATHEMATICA

Table[Floor[(Plus@@Times@@@FactorInteger[n])/PrimeOmega[n]], {n, 2, 90}] (* Alonso del Arte, May 21 2012 *)

PROG

(PARI) avg(n) = { local(x, j, ln) for(x=2, n, a=ifactor(x); ln=length(a); print1(floor(sum(j=1, ln, a[j])/ln)", ")) } ifactor(n) = \The vector of the prime factors of n with multiplicity. { local(f, j, k, flist); flist=[]; f=Vec(factor(n)); for(j=1, length(f[1]), for(k = 1, f[2][j], flist = concat(flist, f[1][j]) ); ); return(flist) }

CROSSREFS

Cf. A067629 (rounding instead of flooring), A076690.

Sequence in context: A276632 A273288 A080210 * A086765 A079868 A088444

Adjacent sequences:  A126591 A126592 A126593 * A126595 A126596 A126597

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jan 06 2007

STATUS

approved

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Last modified December 9 14:23 EST 2016. Contains 278971 sequences.