29437

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 73.at n=22A020412
• a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.at n=31A024697
• a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=31A025129
• Prime(n) and prime(n+3) use the same digits.at n=32A069795
• a(n) = prime((a(n-1) + 1)/2), a(1) = 15.at n=9A104298
• Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=24A109748
• a(n) = a(n-1) + (sum of the terms, from among the first (n-1) terms of the sequence, which are coprime to the n-th Fibonacci number).at n=13A131788
• Indices of primes in sequence A006190.at n=13A209493
• Number of (w,x,y) with all terms in {0,...,n} and 2*max(w,x,y) >= 3*min(w,x,y).at n=31A213392
• Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=3, 0<=k<=floor(n/3)^2, read by rows.at n=37A236560
• Lexicographically first sequence of positive integers, every nonempty subset of which has a distinct mean.at n=11A260873
• Let b(n) be the number of permutations {c_1..c_n} of {1..n} for which c_1 - c_2 + ... + (-1)^(n-1)*c_n are pentagonal numbers (A000326). Then a(n) = b(n)/A010551(n).at n=20A294812
• Number of compositions of n whose run-lengths are not unimodal.at n=17A332727
• a(n) = Sum_{k=0..n} binomial(3*n, k) * p(k), where p(k) is the partition function A000041.at n=5A356284
• Lesser p of a sexy prime pair such that (p-3)/2 is also the lesser prime of a sexy prime pair.at n=21A358571
• Expansion of e.g.f. (1+x) * exp(x*(1+x)^3).at n=6A377964
• Prime numbersat n=3199