19466

Appears in sequences

• Molien series for A_10.at n=41A008633
• Number of partitions of n into at most 10 parts.at n=41A008639
• Numbers k such that the continued fraction for sqrt(k) has period 51.at n=33A020390
• Number of partitions of n in which the greatest part is 10.at n=51A026816
• Decimal part of cube root of n starts with 9: first term of runs.at n=25A034135
• Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.at n=38A114166
• Numbers k such that the difference between k-th prime and next prime is 70.at n=4A116493
• a(1)=a(2)=1; thereafter, a(n+1) = a(n) + a(n-1) + 1 if n is a multiple of 5, otherwise a(n+1) = a(n) + a(n-1).at n=21A124502
• a(n) = Sum_{m=1..n-1} floor(m(n-2)/2)^2.at n=13A125849
• Expansion of Product_{k > 0} (1 + f(k)*x^k), where f(k) = A147952(A004001(k)).at n=38A147982
• Number of partitions of n containing a clique of size 8.at n=44A183565
• Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>0.at n=17A211621
• Number of compositions of n with exactly four occurrences of the largest part.at n=17A243739
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 190", based on the 5-celled von Neumann neighborhood.at n=36A270683
• Composite numbers k such that phi(x) = psi(k)*phi(k) has no solution.at n=14A292714
• Take a squarefree semiprime and take the difference of its prime factors. If it is a squarefree semiprime repeat the process. Sequence lists the squarefree semiprimes that generate other squarefree semiprimes only in the first k steps of this process. Case k = 4.at n=38A296811
• Take a squarefree semiprime and take the difference of its prime factors. If it is a squarefree semiprime repeat the process. Sequence lists the squarefree semiprimes that generate other squarefree semiprimes only in the first k steps of this process. Case k = 5.at n=11A296812
• Number of partitions of n into 10 distinct and relatively prime parts.at n=41A341914
• a(n) = Sum_{k=0..floor(n/3)} binomial(k+1,3*n-9*k+1).at n=51A392675