Hello Math-fun, As 1,2,4,8,16,68 is not in the OEIS, I was wondering: do all such integers end on a palindrome? (a 1-digit integer is a palindrome, of course). Let’s see with 10: 10 —> 01 + 1 = 2 (palindrome) With 11: 11 —> 11+2=13 —> 31+4=35 —> 53+8=61 —> 16+7=23 —> 32+5=37 —> 73+10=83 —> 38+11=49 —> 94+13=107 —> 701+8=709 —> 907+16=923 —> 329+14=343 HIT! With 12 we get (if I’m not wrong): 12,24,48,96,84,60,12,... loop Ok we have our answer: no, some integers loop and don’t show any palindrome in the process. Merry Xmas to the list, Best, É.