46905

Appears in sequences

• Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=32A027927
• a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n^2.at n=28A070902
• One-half of averages of twin prime pairs of A001318.at n=23A154565
• a(n) = 1 + 4*n*(1 + 2*n^2)/3.at n=26A171272
• Number of length n+2 0..n arrays with no three unequal elements in a row and new values 0..n introduced in 0..n order.at n=10A243634
• Number of length n+2 0..6 arrays with no three unequal elements in a row and new values 0..6 introduced in 0..6 order.at n=10A243637
• Number of length n+2 0..7 arrays with no three unequal elements in a row and new values 0..7 introduced in 0..7 order.at n=10A243638
• Number of length n+2 0..8 arrays with no three unequal elements in a row and new values 0..8 introduced in 0..8 order.at n=10A243639
• Number of length n+2 0..9 arrays with no three unequal elements in a row and new values 0..9 introduced in 0..9 order.at n=10A243640
• The number of ways to write an n-bit binary string and then define each run of ones as an element in an equivalence relation.at n=12A247100
• a(n) = (A001359(n+1)^2 - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822).at n=37A308344
• Let P1 >= 5, P2, P3 be consecutive primes, with P2 - P1 = 2. a(n) = (P1 + P2)/12 for the first occurrence of (P3 - P2)/2 = n.at n=37A329252
• Total area under all lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.at n=10A333071
• 6*a(n) + 1 is the least upper prime p of a pair of twin primes p - 2, p, for which the prime gap immediately following p achieves the size 2*A007494(n).at n=25A337436
• Number of free linear midpoint-free polycubes of size n, identifying rotations and reflections.at n=29A368032
• Pentagonal numbers which are products of four distinct primes.at n=28A381919