Here is another number sequence riddle for you all:
4, 2, 7, 6, 8, __, __, and so on. What numbers go in the blanks?
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The sequence continues
and terminates there because
the numbers are the lengths of the words in the question. (I have taken the view that the sequence stops where the numbers begin rather than, e.g., spelling the numbers out in words and using their lengths.)
The blanks stand for
because this is
the beginning of the decimal expansion of the absolute value of the Dawson integral at the
extremainflection points [many thanks to @GarethMcCaughan for noticing the error], ±0.4276866160179287974... (there are two of them, symmetric about the origin). See OEIS entry A245262.
Ah, aren't number sequence puzzles fun! ;-)