63313

Properties

Appears in sequences

• Map from binary trees of size n to the set of corresponding trivalent plane trees (tpt) represented as size 2n+1 general trees.at n=38A083930
• Expansion of (1-x-sqrt(1-2*x-15*x^2))/(8*x^2).at n=9A091147
• Primes p = prime(k) of form 13//r, s//13 or t//13//u and sod(p) = sod(k).at n=31A169645
• Number of (n+3) X 6 0..2 matrices with each 4 X 4 subblock idempotent.at n=14A224723
• a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.at n=47A340340
• Triangle read by rows, T(n, k) = 2^(n - k)*M(n, k, 1/2, 1/2), where M(n, k, x, y) is a generalized Motzkin recurrence. T(n, k) for 0 <= k <= n.at n=45A344557
• First of three consecutive primes p, q, r such that p + q - r, p^2 + q^2 - r^2 and p^3 + q^3 - r^3 are all prime.at n=25A358744
• Number of integer partitions of n having a unique mode.at n=44A362608
• G.f. satisfies A(x) = 1/(1 - 5*x) - x*A(x)^3.at n=8A364647
• Prime numbersat n=6343