What do the numbers 364585 and 820359 have in common? Well, they're both odd for starters. However, although it's not obvious, they are both prolific in the sense that when squared, they produce numbers that have seven sequential, identical, non-zero digits (permalink):
A167712 |
The sequence begins: 1, 12, 38, 1291, 10541, 57735, 364585, 1197219, 50820359, 169640142, 298142397, 4472135955, 1490711985, 2185812841434
This same number makes another appearance in OEIS A048347 for the case of where it should be noted that the identical digits are not necessarily sequential
A048347 |
The sequence begins: 5, 15, 149, 1415, 4585, 14585, 105935, 364585, 3496101, 4714045, 34964585, 149305935, 1490725415, 4714469665, 1490711985, 149071333335, 1105537083332, 1489973900149, 15106363633335, 47140462469223
If we look at the cubes of numbers, then not surprisingly more numbers satisfy, specifically (permalink):
No comments:
Post a Comment