34812

Appears in sequences

• Fibonacci sequence beginning 4, 11.at n=18A022131
• The number of distinct parts in the partition sequence lambda(n) formed by the recurrence lambda(1) = 1 and lambda(n+1) is the sum of lambda(n) and its conjugate.at n=31A064660
• Number of zero-bit dominant primes (A095071) in range ]2^n,2^(n+1)].at n=20A095019
• Number of A095317-primes in range ]2^n,2^(n+1)].at n=20A095327
• G.f.: A(x) = (A_1)^3 where A_1 = 1 + x*(A_2)^3; A_2 = 1 + x^2*(A_3)^3; A_3 = 1 + x^3*(A_4)^3; ... A_n = 1 + x^n*(A_{n+1})^3 for n>=1.at n=18A132331
• Number of strings of numbers x(i=1..5) in 0..n with sum i*x(i) equal to n*5.at n=22A184705
• Number of concave quadrilaterals on an n X n grid (or geoboard).at n=5A189412
• Number of 3 X 3 X 3 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors.at n=7A214385
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.at n=18A295358
• Numbers k such that Bernoulli number B_{k} has denominator 1919190.at n=20A295595
• Number of (undirected) Hamiltonian paths in the n-dipyramidal graph.at n=15A307939
• Number of permutations p of [n] such that |p(i) - p(i-1)| is in {2,7} for all i from 2 to n.at n=30A328648
• G.f.: Sum_{k>=0} x^(k*(k+1)) * Product_{j=1..k} ((1 + x^j)/(1 - x^j))^2.at n=29A376852