129, 255, 513, 1023
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54
apparently 1,4,1,5...The numbers are the chimes of a clock that strikes once on the half hour.
The next number in this sequence is 13112221.
The numbers are increasing by 1,4,9,16,25,36.... which are square numbers so the next increase is 49. Making the next number in the sequence 141
The pattern in the given sequence is multiplying each number by 10. So, the next numbers in the sequence would be obtained by multiplying 120 by 10, resulting in 1200, and then multiplying 1200 by 10, yielding 12000. Therefore, the next numbers in the sequence would be 1200 and 12000.