44491

Properties

Appears in sequences

• a(n) = Sum_{k=0..floor(n/2)} binomial(n - k*(k-1)/2, k).at n=17A064188
• Primes p having exactly one partition into distinct divisors of p+1.at n=44A085499
• Primes from merging of 5 successive digits in decimal expansion of exp(Pi).at n=20A105010
• Primes p such that 2*p#+1 is prime.at n=20A119834
• List of quadruples of strictly non-palindromic primes without an ordinary prime in between them.at n=3A138359
• Primes containing the string 444.at n=9A166582
• Indices of records in A159918.at n=22A230097
• a(n) = smallest m such that wt(m^2) = n (where wt(i) = A000120(i)), or -1 if no such m exists.at n=25A231897
• Primes for which the concatenation of the digits in the even positions and the concatenation of the digits in the odd positions are squares.at n=37A275797
• The number of regions inside a pentagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=6A331929
• a(n) is the least k such that k^2 has a maximal Hamming weight A357658(n) in the range 2^n <= k^2 < 2^(n+1).at n=28A357659
• a(n) is the largest k such that k^2 has a maximal Hamming weight A357658(n) in the range 2^n <= k^2 < 2^(n+1).at n=28A357660
• Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph.at n=38A367323
• Prime numbersat n=4623