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A095702 Smallest "n-augmented" 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 (list; graph; refs; listen; history; text; internal format)
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((a-x)*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

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Last modified February 20 04:34 EST 2020. Contains 332063 sequences. (Running on oeis4.)