23013

Appears in sequences

• a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10.at n=34A154496
• a(n) are values of k that yield "record-breaking" integer sequence lengths for the recursion: b(i) = 3*(b(i-1) + b(i-2))/2, with b(0) = 1 and b(1) = k.at n=8A249861
• Expansion of Product_{k>=1} 1/(1 - x^k)^(sigma_1(k)-k), where sigma_1(k) = sum of divisors of k (A000203).at n=27A318784
• a(n) = Sum_{k=0..floor(n/3)} binomial(n+2,3*k+2) * Catalan(k).at n=13A360045