Well, here is a numerical sequence puzzle, which I really tried hard, but still could not find the pattern? 2 4 6 30 32 34 36 40 42 44 46 50 52 54 56 60 62 64 66 x?
Can anybody help me out in finding the pattern in these numbers?
2026-04-13 02:43:11.1776048191
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What comes next in the series?
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Actually, without any further assumptions, there's no way of telling what is next. What is next in $0,2,4,6,8,10,12,14,16,18$? Maybe it is $20$ A005843 or maybe $11$ A062028? Or maybe something entirely different?
Infinitely many sequences are in accordance with any given starting values, so deciding which one is "correct" assumes that we severely restrict search space to, for instance, "common" sequences. (I don't know why above $20$ should be more correct than $11$, but I'm sure almost everyone will say $20$ is next, not $11$).
This is the integer sequences A006933, describing Sloane's Eban numbers, $2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, 66, 2000, 2002, 2004, 2006$, $2030, 2032, 2034, 2036, 2040, 2042, 2044, 2046, 2050, 2052, 2054, 2056, 2060, 2062, 2064$, $2066, 4000, 4002, 4004, 4006, 4030, 4032, 4034, 4036, 4040, 4042, 4044, 4046, 4050, ...$
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