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2. List of integer sequences - Wikipedia

   en.wikipedia.org/wiki/List_of_integer_sequences

   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: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ... A number that has fewer digits than the number of digits in its prime factorization (including ...

3. Ulam spiral - Wikipedia

   en.wikipedia.org/wiki/Ulam_spiral

   Klauber's 1932 paper describes a triangle in which row n contains the numbers (n − 1) 2 + 1 through n 2. As in the Ulam spiral, quadratic polynomials generate numbers that lie in straight lines. Vertical lines correspond to numbers of the form k 2 − k + M. Vertical and diagonal lines with a high density of prime numbers are evident in the ...

4. Multiplication table - Wikipedia

   en.wikipedia.org/wiki/Multiplication_table

   These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle).

5. Telephone number (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Telephone_number_(mathematics)

   Print/export Download as PDF; Printable version; ... the numbers counting how many patterns are possible are sometimes called the telephone numbers. [3] [4]

6. Pattern - Wikipedia

   en.wikipedia.org/wiki/Pattern

   A pattern is a regularity in the world, in human-made design, [1] or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

7. Look-and-say sequence - Wikipedia

   en.wikipedia.org/wiki/Look-and-say_sequence

   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 .

8. Centered pentagonal number - Wikipedia

   en.wikipedia.org/wiki/Centered_pentagonal_number

   Print/export Download as PDF; Printable version; In other projects ... The parity of centered pentagonal numbers follows the pattern odd-even-even-odd, and in base 10 ...

9. Catalan number - Wikipedia

   en.wikipedia.org/wiki/Catalan_number

   Download as PDF; Printable version ... alternatively, any of the other patterns of length 3); that is, the number ... (2009), A Catalan–Hankel Determinant ...