

A095702


Smallest "naugmented" amicable number: the smallest positive integer x such that k==sigma(x)x+n, x==sigma(k)k+n and k!=x. Here sigma(x) has its usual definition as the sum of the positive integer divisors of x.


2



220, 6160, 24, 180, 20, 6, 224, 2632, 40, 10, 16, 28, 340, 14, 15, 42, 66, 3696, 208, 20, 21, 54, 264, 24, 68, 26, 88, 120, 102, 30, 4030, 56, 33, 34, 35, 60, 110, 38, 280, 40, 354, 66, 476, 44, 130, 46, 408, 92, 1276, 96, 51, 52, 354, 78, 55, 120, 57, 58, 852, 60, 170
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..60.


EXAMPLE

a(1)= 6160 because sigma(6160)6160+1 == 11697, sigma(11697)11697+1 == 6160 and 6160 is the smallest integer for which this holds.


PROG

(PARI) for(g=0, 60, x=g+1; while(1, a=sigma(x)x+g; if((ax)*a, if(sigma(a)a+g==x, print1(x, ", "); break)); x+=1))


CROSSREFS

Sequence in context: A027797 A055663 A022042 * A271674 A107506 A140918
Adjacent sequences: A095699 A095700 A095701 * A095703 A095704 A095705


KEYWORD

nonn


AUTHOR

Jack Brennen, Jul 06 2004


STATUS

approved



