34501

Properties

Appears in sequences

• a(n)=5a(n-2)+2a(n-3).at n=13A112685
• Sum of all terms on the two principal diagonals of a 2n+1 X 2n+1 square spiral.at n=18A114254
• Number of forests of rooted trees with total weight n, where a node at height k has weight 2^k (with root considered to be at height 0).at n=43A115593
• The sum of the principal diagonals of an n X n spiral.at n=37A137930
• a(n) = pi((sqrt(P(n))+1)^2) - pi(P(n)), where pi(n) = number of primes <= n and P(n) = n-th primorial.at n=10A166678
• Row sums of the triangular array A246696.at n=40A246697
• Primes p such that p^2 is the concatenation of two k-digit primes where k is half the length of p^2.at n=21A248046
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 942", based on the 5-celled von Neumann neighborhood.at n=40A273797
• Numbers that are nontrivially palindromic in three or more consecutive integer bases.at n=18A279093
• Lexicographically first sequence of distinct terms such that any set of six successive digits can be reordered as {d, d+1, d+2, d+3, d+4, d+5}, d being the smallest of the six digits.at n=62A302501
• Place n equally spaced points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. The sequence gives the total number of regions formed.at n=22A371374
• Prime numbersat n=3686