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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. On-Line Encyclopedia of Integer Sequences - Wikipedia

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

   The On-Line Encyclopedia of Integer Sequences ( OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009. [ 4] Sloane is the chairman of the OEIS Foundation.

4. Look-and-say sequence - Wikipedia

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

   In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, ... (sequence A005150 in the OEIS ). To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups ...

5. Newton's method - Wikipedia

   en.wikipedia.org/wiki/Newton's_method

   An illustration of Newton's method. In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function. The most basic version starts with a real-valued ...

6. Recurrence relation - Wikipedia

   en.wikipedia.org/wiki/Recurrence_relation

   A recurrence relation is an equation that expresses each element of a sequence as a function of the preceding ones. More precisely, in the case where only the immediately preceding element is involved, a recurrence relation has the form. where. is a function, where X is a set to which the elements of a sequence must belong.

7. Leonardo number - Wikipedia

   en.wikipedia.org/wiki/Leonardo_number

   Leonardo number. The Leonardo numbers are a sequence of numbers given by the recurrence: Edsger W. Dijkstra [ 1] used them as an integral part of his smoothsort algorithm, [ 2] and also analyzed them in some detail. [ 3] [ 4] A Leonardo prime is a Leonardo number that's also prime .

8. Catalan number - Wikipedia

   en.wikipedia.org/wiki/Catalan_number

   Generalizations. The Catalan numbers can be interpreted as a special case of the Bertrand's ballot theorem. Specifically, is the number of ways for a candidate A with n + 1 votes to lead candidate B with n votes. The two-parameter sequence of non-negative integers is a generalization of the Catalan numbers.

9. Sylvester's sequence - Wikipedia

   en.wikipedia.org/wiki/Sylvester's_sequence

   In number theory, Sylvester's sequence is an integer sequence in which each term is the product of the previous terms, plus one. Its first few terms are. 2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443 (sequence A000058 in the OEIS ). Sylvester's sequence is named after James Joseph Sylvester, who first investigated it ...