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Questions tagged [digit-sequences]

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9 votes
5 answers
3k views

Digits of Pi in colored spiral

In How to make the digits of π go around in a spiral like this? it is described how to plot pi in a spiralform (in my case as binary number): ...
8 votes
4 answers
1k views

Determining occurrence of a sequence of numbers in the first 50,000 primes

I have to determine how many of the first 50,000 prime numbers (digits) contain the sequence 5, 4, 3, in that order. The numbers don't have to necessarily be consecutive. For example, 566453 is a ...
1 vote
2 answers
127 views

Generate a sequence of primes giving position and value of a digit in its digit-decomposed version

The prime sequence starts: ...
1 vote
1 answer
29 views

Can FindSequenceFunction work on subscripts/superscripts?

I am trying to find a pattern 'encoded' into variables with superscript labels, which incidentally look much like exponents. FindSequenceFunction though doesn't ...
1 vote
2 answers
121 views

Short Normal Numbers in base 10

Normal numbers in base 10 are those for which, in the base 10 decimal expansion, you can find every natural number. Champernowne's number is a very simple example of this where it is simply written as:...
4 votes
1 answer
314 views

Self-locating Strings in $\pi$?

According to The Pi-Search Page, in the first 100 million digits of $\pi$ the following numbers are self-locating: 1, 16470, 44899, 79873884. The following inefficient code (which also does not ...
2 votes
2 answers
85 views

Counting the number of Configurations in an Array with Constraints

Consider an array $$\{a_i\}, i=1, ..., N$$ with periodic boundary condition, i.e. $i\equiv i+N$. $a_i\in \{0, 1\}$. I would like to count the number of configurations of the array $\{a_i\}$ satisfying ...
1 vote
2 answers
245 views

Listing all monotone binary functions

A monotone binary function is defined as follows: Given binary vectors $\bf x$ and $\bf y$ (each having $n$ bits) with $\bf x\geq \bf y$, a function $f:\bf x\rightarrow\{0,1\}$ is called monotone if $...