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2. Look-and-say sequence - Wikipedia

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

   1211 is read off as "one 1, one 2, two 1s" or 111221. 111221 is read off as "three 1s, two 2s, one 1" or 312211. The look-and-say sequence was analyzed by John Conway [1] after he was introduced to it by one of his students at a party. [2] [3] The idea of the look-and-say sequence is similar to that of run-length encoding.

3. Trace (linear algebra) - Wikipedia

   en.wikipedia.org/wiki/Trace_(linear_algebra)

   The trace of a Hermitian matrix is real, because the elements on the diagonal are real. The trace of a permutation matrix is the number of fixed points of the corresponding permutation, because the diagonal term a ii is 1 if the i th point is fixed and 0 otherwise. The trace of a projection matrix is the dimension of the target space.

4. 30 (number) - Wikipedia

   en.wikipedia.org/wiki/30_(number)

   It has an aliquot sum of 42; within an aliquot sequence of thirteen composite numbers (30, 42, 54, 66, 78, 90, 144, 259, 45, 33, 15, 9, 4, 3, 1, 0) to the Prime in the 3-aliquot tree. From 1 to the number 30, this is the longest Aliquot Sequence. It is also: A semiperfect number, since adding some subsets of its divisors (e.g., 5, 10 and 15 ...

5. 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

6. Algebraic number field - Wikipedia

   en.wikipedia.org/wiki/Algebraic_number_field

   Then an integral basis is [1, x, 1/2(x 2 + 1)], and the corresponding integral trace form is []. The "3" in the upper left hand corner of this matrix is the trace of the matrix of the map defined by the first basis element (1) in the regular representation of K {\displaystyle K} on K {\displaystyle K} .

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