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The look-and-say sequence is also popularly known as the Morris Number Sequence, after cryptographer Robert Morris, and the puzzle "What is the next number in the sequence 1, 11, 21, 1211, 111221?" is sometimes referred to as the Cuckoo's Egg , from a description of Morris in Clifford Stoll 's book The Cuckoo's Egg .
A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758 Extravagant numbers
The roots of connecting dots to create pictures or help with calligraphy can be traced back to the 19th century. The Nine Dots Puzzle is the first known puzzle game where the player has to connect dots. But in this variant the goal is not to draw a picture, but to solve a logic puzzle. The emergence of connect the dots games in the printed ...
The Columbus Egg Puzzle from The Strand Magazine, 1907. In 1907, the nine dots puzzle appears in an interview with Sam Loyd in The Strand Magazine: [4] [2] "[...] Suddenly a puzzle came into my mind and I sketched it for him. Here it is. [...] The problem is to draw straight lines to connect these eggs in the smallest possible number of strokes.
Add the clues together, plus 1 for each "space" in between. For example, if the clue is 6 2 3, this step produces the sum 6 + 1 + 2 + 1 + 3 = 13. Subtract this number from the total available in the row (usually the width or height of the puzzle). For example, if the clue in step 1 is in a row 15 cells wide, the difference is 15 - 13 = 2.
Most versions of the puzzle require that each expression have exactly four fours, but some variations require that each expression have some minimum number of fours. The puzzle requires skill and mathematical reasoning. The first printed occurrence of the specific problem of four fours is in Knowledge: An Illustrated Magazine of Science in 1881 ...
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted F n . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 [1] [2] and some (as did Fibonacci) from ...
For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n ...
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