43068

Appears in sequences

• Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k).at n=30A063968
• Numbers m such that phi(m) = tau(m)^3.at n=26A068559
• a(n) = A153801(n)/2.at n=27A153804
• Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k UUDD's, where U=(1,1) and D=(1,-1).at n=56A191793
• G.f.: exp( Sum_{n>=1} A163659(n^2)*x^n/n ), where x*exp(Sum_{n>=1} A163659(n)*x^n/n) = S(x) is the g.f. of Stern's diatomic series (A002487).at n=29A195586
• G.f. satisfies: A(x) = (1+x+x^2)^3 * A(x^2)^2.at n=14A237650
• Number of length n+1 0..2*3 arrays with the sum of the absolute values of adjacent differences equal to n*3.at n=5A249977
• T(n,k) is the number of length n+1 0..2*k arrays with the sum of the absolute values of adjacent differences equal to n*k.at n=33A249982
• Number of length 6+1 0..2*n arrays with the sum of the absolute values of adjacent differences equal to 6*n.at n=2A249986
• Total length of self-avoiding walks with n bonds on the simple cubic lattice with additional bridges of length sqrt(3).at n=5A259819
• a(n) = 3*(3*n+1)*(9*n+8)/2.at n=32A304504