43759

Properties

Appears in sequences

• Prime number spiral (clockwise, Northeast spoke).at n=34A054553
• Lesser of two consecutive primes such that p + n*q is a perfect square, p < q.at n=32A064543
• Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=20A094459
• Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)^3.at n=34A100572
• Prime numbers whose hexadecimal representation uses only the digits A,B,C,D,E,F (and not the decimal digits).at n=34A140969
• K-bit primes p such that p-2^i and p+2^i are composite for 0<=i<=K-1.at n=33A153352
• Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 9).at n=18A212389
• n^3 + 4*n^2 - 5*n + 1.at n=34A241577
• a(n) equals the coefficient of x^n in Sum_{m>=0} (x^m + 1/x^m)^m for n > 0.at n=35A304638
• a(n) equals the coefficient of x^n in Sum_{m>=0} (x^m + 2 + 1/x^m)^m for n >= 1.at n=8A316592
• a(n) = binomial(2*n, n+1) + 1.at n=9A323229
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 2.at n=44A336786
• Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.at n=41A336788
• Expansion of (1/x) * Series_Reversion( x / ((1+x)^4 - x^2) ).at n=6A371430
• Cogrowth sequence of the 20-element group C10 X C2 = <S,T | S^10, T^2, [S,T]>.at n=9A378254
• Triangle read by rows: T(n, k) is the number of walks of length n on the Z X Z grid with unit steps in all four directions (NSWE) starting at (0, 0), and ending on the vertical line x = 0 if k = 0, or on the line x = k or x = -(n + 1 - k) if k > 0.at n=46A379822
• Triangle read by rows: T(n, k) is the number of walks of length n on the Z X Z grid with unit steps in all four directions (NSWE) starting at (0, 0), and ending on the vertical line x = 0 if k = 0, or on the line x = k or x = -(n + 1 - k) if k > 0.at n=54A379822
• a(n) = Sum_{k=0..floor(n/3)} binomial(k+2,3*n-9*k+2).at n=50A390037
• a(n) = Sum_{k=0..floor(5*n/9)} binomial(k,5*n-9*k).at n=34A392356
• Prime numbersat n=4557