Many of the powers of 2 are there. Observe they all contain the digit 1: 16, 128, 512, 1024. If this is true then 2^13=8192 is the next power of 2 in the sequence.
384 = 2^7*3 and contains a 3
1536 = 2^9*3 and contains a 3
1792 = 2^8*7 and contains a 7
2176 = 2^7*17 and contains the digit string 17
2560 = 2^9*5 and contains a 5
2912 = 2^5*7*13 but 7*13=91
So it looks like the sequence is just odd numbers times a power of 2 that contain themselves.
For k odd, if k*2^n contains the digit string of k then it's in the list.
My guess is the next number in the sequence is 3072 = 3*2^10 but I didn't check all the numbers in between.
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Posted by Jer
on 2022-10-13 09:02:50 |
Solution?
