Definition:Wonderful Demlo Number

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Definition

The Wonderful Demlo numbers are the positive integers defined as the coefficients of the powers of $x$ in the expansion of:

$\dfrac {1 + 10 x} {\left({1 - x}\right) \left({1 - 10 x}\right) \left({1 - 100 x}\right)}$


Sequence

The sequence of Wonderful Demlo numbers begins:

$1, 121, 12 \, 321, 1 \, 234 \, 321, 123 \, 454 \, 321, \ldots$


Also known as

Some sources refer to them as just Demlo numbers.


Linguistic Note

If anybody has the slightest clue as to the origin of the term Wonderful Demlo numbers they are encouraged to share it here.


Sources