31847

Properties

Appears in sequences

• Triangle of coefficients of generating function of 5-ary rooted trees of height at most n.at n=63A036607
• Number of 5-ary rooted trees with n nodes and height at most 4.at n=21A036615
• Let P(x) = (x^2+1)^2+1; then a(n) is the lesser term of a twin prime pair such that P(a(n)) is also the lesser term of another twin prime pair.at n=3A093189
• Prime chain of 128 terms, including 104 distinct primes, consisting of the output of eight equations that alternate sequentially within a procedural expression of a single polynomial. The equations are either subsequences of x^2 - 79x + 1601 or transforms with one exception: 100x^2 - 2260x + 12959. The other four distinct equations are Euler-derived: 25x^2 - 1185x + 14083, 25x^2 - 775x + 6047, 100x^2 - 2280x + 13159, 100x^2 - 4160x + 43427.at n=29A140708
• Larger of two consecutive prime numbers, p1 and p2 = p1 + d, such that p1*p2*d - d is the average of twin primes.at n=3A153379
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=18A293316
• Number of vertices in a regular drawing of the complete bipartite graph K_{n,n}.at n=22A331755
• Lesser twin primes p such that 4*p is the sum of two consecutive primes.at n=29A350736
• a(n) = A002070(n) + A036689(n).at n=40A366346
• Lesser of twin primes p such that p and p+2 are both in A115591.at n=31A367318
• Prime numbersat n=3421