Search results
Results from the WOW.Com Content Network
Name First elements Short description OEIS Kolakoski sequence: 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ... The n th term describes the length of the n th run : A000002: Euler's ...
The sequence of practical numbers which has 1 as the first term and contains all other powers of 2 as a subset. [4] (sequence A005153 in the OEIS) The Fibonacci numbers, as well as the Fibonacci numbers with any one number removed. [1] This follows from the identity that the sum of the first n Fibonacci numbers is the (n + 2)nd Fibonacci number ...
So far, only three sequences of the family Q r,s are known, namely the U sequence with (r,s) = (1,2) (which is the original Q sequence); [19] the V sequence with (r,s) = (1,4); [20] and the W sequence with (r,s) = (2,4). [19] Only the V sequence, which does not behave as chaotically as the others, is proven not to "die". [19] Similar to the ...
The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer's Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = f (n), the n th cut must be considered; the number of pieces before the last cut is f (n − 1), while the number of pieces added by the last cut is n.
A bijection with the sums to n is to replace 1 with 0 and 2 with 11. The number of binary strings of length n without an even number of consecutive 0 s or 1 s is 2F n. For example, out of the 16 binary strings of length 4, there are 2F 4 = 6 without an even number of consecutive 0 s or 1 s—they are 0001, 0111, 0101, 1000, 1010, 1110. There is ...
In mathematics, the Jacobsthal numbers are an integer sequence named after the German mathematician Ernst Jacobsthal.Like the related Fibonacci numbers, they are a specific type of Lucas sequence (,) for which P = 1, and Q = −2 [1] —and are defined by a similar recurrence relation: in simple terms, the sequence starts with 0 and 1, then each following number is found by adding the number ...
It seems plausible that the density of 1s in the Kolakoski {1,2}-sequence is 1/2, but this conjecture remains unproved. [6] Václav Chvátal has proved that the upper density of 1s is less than 0.50084. [7]
October 1 Companies Justin.tv, a live-streaming service that is the owner of Twitch, is founded by Justin Kan. [citation needed] 2006 September 7 Products Amazon introduces video on demand service Amazon Video. [22] 2006 October 9 Mergers Google acquires YouTube. [23] 2006 October 31 Companies