44760

Appears in sequences

• Row sums of triangle A054336 (central binomial convolutions).at n=12A054341
• G.f.: 1/(1 - 5*x*C(x)), where C(x) = (1 - sqrt(1 - 4*x))/(2*x) = g.f. for the Catalan numbers A000108.at n=6A076036
• Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1).at n=49A241744
• Number of n-digit binary strings such that for all 2 <= k <= n, the string formed by the first k digits of the original string is composed of at least one-quarter 1's and one-quarter 0's.at n=17A268691
• Number of nX6 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.at n=2A269033
• T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.at n=30A269035
• Number of 3 X n 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.at n=5A269037