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  2. Look-and-say sequence - Wikipedia

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

    This version of the pea pattern eventually forms a cycle with the two "atomic" terms 23322114 and 32232114. Other versions of the pea pattern are also possible; for example, instead of reading the digits as they first appear, one could read them in ascending order instead (sequence A005151 in the OEIS). In this case, the term following 21 would ...

  3. Centered square number - Wikipedia

    en.wikipedia.org/wiki/Centered_square_number

    All centered square numbers and their divisors have a remainder of 1 when divided by 4. Hence all centered square numbers and their divisors end with digit 1 or 5 in base 6, 8, and 12. Every centered square number except 1 is the hypotenuse of a Pythagorean triple (3-4-5, 5-12-13, 7-24-25, ...). This is exactly the sequence of Pythagorean ...

  4. Connect the dots - Wikipedia

    en.wikipedia.org/wiki/Connect_the_dots

    A mostly complete puzzle. The phrase "connect the dots" can be used as a metaphor to illustrate an ability (or inability) to associate one idea with another—to find the "big picture", or salient feature, in a mass of data; [5] it can mean using extrapolation to solve a mystery from clues, or else come to a conclusion from various facts.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics).

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Singh cites Pingala's cryptic formula misrau cha ("the two are mixed") and scholars who interpret it in context as saying that the number of patterns for m beats (F m+1) is obtained by adding one [S] to the F m cases and one [L] to the F m−1 cases. [12] Bharata Muni also expresses knowledge of the sequence in the Natya Shastra (c. 100 BC–c ...

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