List questions from pattern-recognition

Published on 22 Feb 2016 - 21:57

90

Views

I think I've found all roots to $f_k(x)=\sum_{j=1}^k x^j-x^{-j}$ for any $k$ - how to prove it?

Published on 28 Feb 2016 - 14:10

73

Views

Binomial Coefficient Pattern

Published on 03 Mar 2016 - 21:37

34

Views

Binomial Coefficient Explanaition

Published on 03 Mar 2016 - 22:10

60

Views

How to select an item from a set with constraints, and finding when the pattern repeats.

Published on 04 Mar 2016 - 18:00

94

Views

Analysis of coefficients of $x^k+\frac1{x^k}$ polynomials

Published on 10 Mar 2016 - 18:04

41

Views

Recognising patterns and turning it into a formula

Published on 14 Apr 2016 - 11:27

38

Views

How to count the number of x in a rows in a larger set.

Published on 29 Apr 2016 - 20:50

743

Views

Pattern finding algorithms

Published on 25 Feb 2026 - 10:48

8k

Views

Closed form for $ S(m) = \sum_{n=1}^\infty \frac{2^n \cdot n^m}{\binom{2n}n} $ for integer $m$?

Published on 14 May 2016 - 10:30

360

Views

Find the missing Item in the sequence

Published on 30 May 2016 - 10:58

656

Views

What is the next Item in the series

Published on 30 May 2016 - 11:27

530

Views

finding the missing number by pattern

Published on 04 Jun 2016 - 6:37

49

Views

Sticky boots and modular arithmetic: Find the formula!

Published on 04 Jun 2016 - 23:40

333

Views

How to sort a list of tuples?

Published on 27 Mar 2026 - 11:25

List Question

$k-1$st derivative of a degree $k$ polynomial

I think I've found all roots to $f_k(x)=\sum_{j=1}^k x^j-x^{-j}$ for any $k$ - how to prove it?

Binomial Coefficient Pattern

Binomial Coefficient Explanaition

How to select an item from a set with constraints, and finding when the pattern repeats.

Analysis of coefficients of $x^k+\frac1{x^k}$ polynomials

Recognising patterns and turning it into a formula

How to count the number of x in a rows in a larger set.

Pattern finding algorithms

Closed form for $ S(m) = \sum_{n=1}^\infty \frac{2^n \cdot n^m}{\binom{2n}n} $ for integer $m$?

Find the missing Item in the sequence

What is the next Item in the series

finding the missing number by pattern

Sticky boots and modular arithmetic: Find the formula!

How to sort a list of tuples?

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