OFFSET
0,2
COMMENTS
Conjecture: a(n) = 3 except for n = 0 or n = 2. - Chai Wah Wu, Sep 21 2022
EXAMPLE
For n=2, the 4 solutions are (0; 0), (0; 1), (1; 2) and (2; 2). The pairs (0; 0), (0; 1) and (2^(n-1); 2^(n-1)) exist for all n > 0.
PROG
(Python)
def A356334(n): return sum(1 for x in range((1<<n)+1) for y in range(x, (1<<n)+1) if x**(n+1)+y**(n+1)==(x+y)**n) # Chai Wah Wu, Sep 19 2022
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Reiner Moewald, Aug 04 2022
EXTENSIONS
a(11)-a(14) from Hugo Pfoertner, Sep 18 2022
a(15)-a(20) from Chai Wah Wu, Sep 21 2022
STATUS
approved