50923

Properties

Appears in sequences

• a(n) = sum of absolute-valued coefficients of (1+3*x-x^2)^n.at n=8A084780
• Numbers n such that n and the four successive integers produce primes if substituted for x in the polynomial 5x^2+5x+1. See A090562, A090563. Terms show that longer similar chains also exist.at n=23A090100
• Numbers k such that binomial(6k, k) - 1 is prime.at n=21A125244
• Numbers k with property that the sum of 120 successive primes starting with prime(k) is a square.at n=2A166261
• Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-2.at n=24A212039
• a(n) = prime(n*prime(n)).at n=34A228529
• 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=41A248046
• a(1)=2; thereafter, a(n) is the smallest number not occurring earlier such that Kronecker(a(k), a(n)) = -1 for the next n indices k = n+1, n+2, ..., 2n.at n=25A249692
• k such that 0 = Sum_{j=1..k} A373223(k, j). The indices of the rows in Gauss's triangle with vanishing row sums.at n=33A373181
• Number of integer compositions of n whose leaders of maximal anti-runs are not distinct.at n=17A374678
• Prime numbersat n=5215