

A107473


Sum of numerator and denominator of product{pn,p=primes} (1 1/p).


0



2, 3, 5, 3, 9, 4, 13, 3, 5, 7, 21, 4, 25, 10, 23, 3, 33, 4, 37, 7, 11, 16, 45, 4, 9, 19, 5, 10, 57, 19, 61, 3, 53, 25, 59, 4, 73, 28, 21, 7, 81, 9, 85, 16, 23, 34, 93, 4, 13, 7, 83, 19, 105, 4, 19, 10, 31, 43, 117, 19, 121, 46, 11, 3, 113, 43, 133, 25, 113, 47, 141, 4, 145, 55, 23, 28
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..76.


FORMULA

a(n) = A076511(n) + A076512(n).  Michel Marcus, Aug 16 2019


EXAMPLE

a(12) = 4 = 1+3 because (1 1/2)(1 1/3) = 1/3.


MAPLE

a:=proc(n) local b, ct, f; with(numtheory): b:=convert(factorset(n), list): ct:=nops(b): f:=simplify(product(11/b[j], j=1..ct)):numer(f)+denom(f) end: seq(a(n), n=1..100); # Emeric Deutsch, May 28 2005


CROSSREFS

Cf. A076511, A076512.
Sequence in context: A125677 A051358 A211245 * A105574 A105562 A323704
Adjacent sequences: A107470 A107471 A107472 * A107474 A107475 A107476


KEYWORD

nonn


AUTHOR

Leroy Quet, May 27 2005


EXTENSIONS

More terms from Emeric Deutsch, May 28 2005


STATUS

approved



