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# Posts tagged sequence

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9 posts
81%
+7 −0

Challenge A Niven number is a positive integer which is divisible by the sum of its digits. For example, 81 -&gt; 8+1=9 -&gt; 81%9=0. Your task is to find the first n Niven numbers, given n. Te...

7 answers  ·  posted 6mo ago by Razetime‭  ·  last activity 5mo ago by Shaggy‭

75%
+4 −0

Introduction The Pell(no, not Bell) Numbers are a simple, Fibonacci-like sequence, defined by the following relation: $P_n=\begin{cases}0&amp;\mbox{if }n=0;\\1&amp;\mbox{if }n=1;\\2P_{n-1}+P_{n-2... 9 answers · posted 2y ago by Razetime‭ · last activity 8mo ago by torres‭ 75% +4 −0 Inspired by this challenge. If anyone has any suggestions for a song title I could use for the challenge title then please leave a comment. Definition We define f(x) for a given integer as the su... 4 answers · posted 1y ago by Shaggy‭ · last activity 1y ago by radarek‭ Question code-golf sequence 75% +4 −0 Introduction What is the Caesar shift cipher (ROT$n$)? It's basically a cipher sequence that changes a letter's value from the number chosen. If we use ROT1 on "games", we get "hbnft". The basic i... 7 answers · posted 1y ago by General Sebast1an‭ · edited 1y ago by General Sebast1an‭ 75% +4 −0 The Ludic Numbers are a sequence that pops up when you apply the sieve of eratosthenes to the natural numbers, completely removing the numbers every iteration. Here is how they are generated: The... 3 answers · posted 1y ago by Razetime‭ · last activity 1y ago by General Sebast1an‭ Question code-golf sequence 77% +5 −0 Definition$F_{n}\left(0\right)=0F_{n}\left(1\right)=1F_{n}\left(x\right)=n\cdot F_{n}\left(x-1\right)+F_{n}\left(x-2\right)$For example:$F_{1}=\left[0,1,1,2,3,5,8,13,21,34,55,89...\ri...

3 answers  ·  posted 2y ago by rak1507‭  ·  edited 1y ago by General Sebast1an‭

Question code-golf sequence
60%
+1 −0

Challenge Create a program that takes input of a string and outputs an integer using the following calculation system: The string can only contain +, -, *, /, ^, ! (or a different character; ! ...

1 answer  ·  posted 1y ago by General Sebast1an‭  ·  edited 1y ago by General Sebast1an‭

80%
+6 −0

A Juggler sequence is a sequence that begins with a positive integer $a_0$ and each subsequent term is calculated as: a_{k+1} = \begin{cases} \left \lfloor a_k ^ \frac 1 2 \right \rfloor, &amp;...

9 answers  ·  posted 1y ago by caird coinheringaahing‭  ·  last activity 1y ago by Shaggy‭

84%
+9 −0

Heavily based on this closed challenge from SE. Description A Sumac sequence starts with two non-zero integers $t_1$ and $t_2.$ The next term, $t_3 = t_1 - t_2$ More generally, \$t_n = t_{n-2} ...

9 answers  ·  posted 2y ago by Razetime‭  ·  edited 1y ago by General Sebast1an‭

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