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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. 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 .

  4. Integer sequence - Wikipedia

    en.wikipedia.org/wiki/Integer_sequence

    An integer sequence is a definable sequence relative to M if there exists some formula P(x) in the language of set theory, with one free variable and no parameters, which is true in M for that integer sequence and false in M for all other integer sequences.

  5. On-Line Encyclopedia of Integer Sequences - Wikipedia

    en.wikipedia.org/wiki/On-Line_Encyclopedia_of...

    and the sequences A053873, "Numbers n such that OEIS sequence A n contains n", and A053169, "n is in this sequence if and only if n is not in sequence A n". Thus, the composite number 2808 is in A053873 because A002808 is the sequence of composite numbers, while the non-prime 40 is in A053169 because it is not in A000040, the prime numbers

  6. Category:Integer sequences - Wikipedia

    en.wikipedia.org/wiki/Category:Integer_sequences

    This category includes not only articles about certain types of integer sequences, but also articles about theorems and conjectures pertaining to, and properties of, integer sequences. The main article for this category is Integer sequence .

  7. Square-free integer - Wikipedia

    en.wikipedia.org/wiki/Square-free_integer

    The square-free number 42 has factorization 2 × 3 × 7, or as an infinite product 2 1 · 3 1 · 5 0 · 7 1 · 11 0 · 13 0 ··· Thus the number 42 may be encoded as the binary sequence ...001011 or 11 decimal. (The binary digits are reversed from the ordering in the infinite product.)

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