OFFSET
1,1
LINKS
D. Knuth, Table of a(n) and its mate for n=1..36
K. Oséki, A problem of number theory, Proceedings of the Japan Academy 36 (1960), 578-587.
EXAMPLE
a(1) is amicably paired to 136, because 1^3 + 3^3 + 6^3 = 244 and 2^3 + 4^3 + 4^3 = 136.
PROG
(Python)
from itertools import count, combinations_with_replacement, islice
def A262092_gen(): # generator of terms
for m in count(2):
for c in combinations_with_replacement(range(10), m+1):
n = sum(d**m for d in c)
r = sum(int(q)**m for q in str(n))
rlist = sorted(int(d) for d in str(r))
rlist = [0]*(m+1-len(rlist))+rlist
if n < r and rlist == list(c):
yield r
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Don Knuth, Sep 10 2015
EXTENSIONS
Definition clarified by Chai Wah Wu, Jan 04 2016
STATUS
approved