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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

  3. Look-and-say sequence - Wikipedia

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

    [2] [3] The idea of the look-and-say sequence is similar to that of run-length encoding. If started with any digit d from 0 to 9 then d will remain indefinitely as the last digit of the sequence. For any d other than 1, the sequence starts as follows: d, 1d, 111d, 311d, 13211d, 111312211d, 31131122211d, …

  4. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    The sequence (.9, .99, .999, .9999, ...), for instance, approaches the number 1. In fact, every real number can be written as the limit of a sequence of rational numbers (e.g. via its decimal expansion, also see completeness of the real numbers). As another example, π is the limit of the sequence (3, 3.1, 3.14, 3.141, 3.1415, ...), which is ...

  5. Pell number - Wikipedia

    en.wikipedia.org/wiki/Pell_number

    In words, the sequence of Pell numbers starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the sequence are 0, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860, … (sequence A000129 in the OEIS).

  6. Integer sequence - Wikipedia

    en.wikipedia.org/wiki/Integer_sequence

    (the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description (sequence A000045 in the OEIS). The sequence 0, 3, 8, 15, ... is formed according to the formula n 2 − 1 for the n th term: an explicit definition.

  7. Mnemonic major system - Wikipedia

    en.wikipedia.org/wiki/Mnemonic_major_system

    Learning a vocabulary of 3-digit numbers is harder, because ten times more images need to be learned for each extra digit. Many mnemonists, however, can use a set of over 1000 images. The combination of images into a narrative is easier to do rapidly than forming a coherent grammatical sentence.

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