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
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $121$
- Weisstein, Eric W. "Demlo Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DemloNumber.html