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Numbers n such that n - (sum of digits of n) is a palindrome.
3

%I #28 Jan 27 2025 21:11:32

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,100,101,102,103,

%T 104,105,106,107,108,109,180,181,182,183,184,185,186,187,188,189,260,

%U 261,262,263,264,265,266,267,268,269,340,341,342,343,344,345,346,347,348,349,420,421,422,423,424,425,426

%N Numbers n such that n - (sum of digits of n) is a palindrome.

%e 185 - (1+8+5) = 171 (a palindrome). Thus, 185 is a member of this sequence.

%o (Python)

%o def ispal(n):

%o r = ''

%o for i in str(n):

%o r = i + r

%o return n == int(r)

%o def DS(n):

%o s = 0

%o for i in str(n):

%o s += int(i)

%o return s

%o {print(n, end=', ') for n in range(10**3) if ispal(n-DS(n))}

%o ## Simplified by _Derek Orr_, Apr 10 2015

%o (PARI) ispal(d) = Vecrev(d) == d;

%o isok(n) = ispal(digits(n-sumdigits(n))); \\ _Michel Marcus_, Apr 11 2015

%Y Cf. A066568.

%K nonn,base,easy,changed

%O 1,3

%A _Derek Orr_, Sep 26 2013

%E More terms from _Derek Orr_, Apr 10 2015