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2. List of integer sequences - Wikipedia

   en.wikipedia.org/wiki/List_of_integer_sequences

   The smallest integer m > 1 such that p n # + m is a prime number, where the primorial p n # is the product of the first n prime numbers. A005235 Semiperfect numbers

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. Padovan sequence - Wikipedia

   en.wikipedia.org/wiki/Padovan_sequence

   11 ; 5 + 3 + 3 ; 3 + 5 + 3 ; 3 + 3 + 5. The number of ways of writing n as an ordered sum in which each term is congruent to 2 mod 3 is equal to P(n − 4). For example, P(6) = 4, and there are 4 ways to write 10 as an ordered sum in which each term is congruent to 2 mod 3: 8 + 2 ; 2 + 8 ; 5 + 5 ; 2 + 2 + 2 + 2 + 2

5. Sieve of Eratosthenes - Wikipedia

   en.wikipedia.org/wiki/Sieve_of_Eratosthenes

   The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. [1] This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. [ 2 ]

6. 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).

7. Gould's sequence - Wikipedia

   en.wikipedia.org/wiki/Gould's_sequence

   Pascal's triangle, rows 0 through 7. The number of odd integers in row i is the i-th number in Gould's sequence. The self-similar sawtooth shape of Gould's sequence. Gould's sequence is an integer sequence named after Henry W. Gould that counts how many odd numbers are in each row of Pascal's triangle. It consists only of powers of two, and ...