OFFSET
1,2
COMMENTS
a(57) is likely to be the last term. - Scott R. Shannon, Oct 07 2024
From Robert Israel, Oct 07 2024: (Start)
Proof that a(57) is the last term.
Sum_{i=1..57} a(i) = 91899819. Suppose r is a palindrome not in {a(1),...,a(56)} such that 91899819 + r is a palindrome.
It has been checked that r must have more digits than 91899819 does.
r can't end in 0 because it's a palindrome. If r ends (and therefore starts) with digit x, then r + 91899819 ends (and starts) with x-1.
But since r + 91899819 > r, that can only happen if r + 91899819 has one more digit than r.
Since r has more digits than 91899819, this implies that r + 91899819 starts with 1 and r starts with 9.
But that's impossible because 9 + 9 ends in 8. (End)
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Amarnath Murthy, Aug 16 2002
EXTENSIONS
More terms from Giovanni Resta, Feb 08 2006
a(42)-a(57) from Scott R. Shannon, Oct 07 2024
STATUS
approved