22924

Appears in sequences

• a(n) = Sum_{k=0..floor((n-3)/2)} T(n,k) * T(n,k+2), with T given by A008315.at n=7A027303
• Numerators of continued fraction convergents to sqrt(743).at n=4A042430
• Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)^2.at n=24A072849
• Indices of primes in sequence defined by A(0) = 31, A(n) = 10*A(n-1) + 61 for n > 0.at n=10A101841
• Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k hills (i.e., ud's starting at level 0). (A Grand Motzkin path is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).at n=43A109191
• Triangle read by rows related to enumeration of permutations avoiding certain patterns.at n=48A220860
• Number of nX3 nonnegative integer arrays with upper left 0 and lower right n+3-5 and value increasing by 0 or 1 with every step right or down.at n=7A252971
• T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-5 and value increasing by 0 or 1 with every step right or down.at n=47A252976
• T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-5 and value increasing by 0 or 1 with every step right or down.at n=52A252976
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 413", based on the 5-celled von Neumann neighborhood.at n=31A272009
• Numbers n such that Bernoulli number B_{n} has denominator 690.at n=37A272186
• Number of partitions of the n-th nonprime number into a nonprime number of nonprime parts.at n=49A344789