# Tagged Questions

1. From a samples of a small samples of mathematical objects, conjecture a common pattern to all of them. This includes "guess the next terms in the sequence" question (consider checking OEIS first). Please provide as much context as possible. 2. Mathematical ideas related to pattern recognition, ...

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### Self-Similar Reverse-Sum Sequences

When a number is added to its reverse (digits in reverse order), sum it. For example: 102 + 201 = 303 508 + 805 = 1313 246 + 642 = 888 Given all numbers between 0 and 10^9, discover ...
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### Function for numeric input output series

I am trying to find function which will give me output for corresponding inputs. ...
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### Pattern Finding in terms of previous terms

Find the next terms of the pattern: $$1,4,24,192,2120,31140,566202 \dots$$ Tell the pattern expression. I have already tried Lagrange interpolation. But it is not accurate enough.
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### What Constitutes a Pattern

Mathematics is often referred to as the "study of patterns." What I'm wondering is whether there is somehow a technical way to describe a pattern. For the length of this question let's assume that we'...
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### k nearest neighbor density estimation

In k nearest neighbor density estimation we calculate the density using following formula For given 1D sample X={4,5,6,7,9,10,11,12,13,14) if k=3, and we do not consider on boundary samples inside ...
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### Leibniz Binary Representation of Squares

Leibniz claims to have found patterns in the square numbers and their binary representations. I cannot see any patterns at all. Here are the first ten squares and their binary representations, can ...
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### Finding an unknown number in the middle of a number sequence

I've stumbled across a very peculiar number sequence and it was bugging me for a while now, i would really like to find out a way to dissect and work out the number that is missing, here's the ...
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### Estimating $p(x)$ with a nonparametric method
"Pattern Classification" book I study that in nonparametric methods we need to estimate $p(x)$, and we don't want just the averaged version of it. They give an example of theoretical procedure to ...