144210

Appears in sequences

• a(n) = 10*binomial(2*n + 1, n - 4)/(n + 6).at n=7A003519
• Convolution of Catalan numbers and powers of 2.at n=11A014318
• Numbers n such that n = p + q with n*p*q = primorial number (A002110) (p <= q, p > 0, q > 0).at n=21A057035
• Eighth column of Catalan triangle A009766.at n=9A064061
• Integers which have more than one coprime factorization into nonprime powers which sum to the same number.at n=14A072940
• Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that cross downwards the x-axis k times. (A Grand Dyck path of semilength n is a path in the half-plane x>=0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1)).at n=38A118919
• a(1) = 1; a(2) = 0; a(3) = 0; a(4) = 0; a(5) = 0; a(6) = 0; a(7) = 0; a(8) = 0; a(9) = 0; a(10) = 0; a(n) = a(n - 1) + 9a(n - 2) - 8a(n - 3) - 28a(n - 4) + 21a(n - 5) + 35a(n - 6) - 20a(n - 7) - 15a(n - 8) + 5a(n - 9) + a(n - 10) for n >= 11.at n=24A122602
• a(n) = (n-1)*n*(n+1)*(n+2)*(2n+11)/120.at n=22A130857
• a(n) = (1/n)*Sum_{k=1..n} k*binomial(n,k-1)*binomial(2*n,n-k).at n=7A262394
• Numbers that appear in A195441 at least once for two consecutive indices.at n=12A286763
• Numbers m such that m | A000385(m-1) = Sum_{k=1..m-1} sigma(k) * sigma(m-k).at n=38A326608