47190

Appears in sequences

• a(n) = 10*(n+1)*binomial(n+3,5)/3.at n=8A027790
• a(n) = 15*(n+1)*binomial(n+3,10).at n=3A027795
• a(n) = C(n)*(4*n+1) where C(n) = Catalan numbers (A000108).at n=8A051944
• a(n) = (n+3)*binomial(n+8, 8)/3.at n=8A053310
• Ninth column (m=8) of (1,3)-Pascal triangle A095660.at n=9A095664
• Expansion of (1+x*c(x^2))^3/sqrt(1-4*x^2), c(x) the g.f. of A000108.at n=16A107232
• Inverse binomial transform of A061037 (read as with offset 0).at n=11A144392
• Record (maximal) gaps between prime triples (p, p+4, p+6).at n=41A201596
• Fixed points of A153212: After a(1) = 1, numbers of the form p_i1^i1 * p_i2^(i2-i1) * p_i3^(i3-i2) * ... * p_ik^(ik-i_{k-1}), where p_i's are distinct primes present in the prime factorization of n, with i1 < i2 < i3 < ... < ik, and k = A001221(n) and ik = A061395(n).at n=35A242421
• Unitary practical numbers that are nonsquarefree.at n=36A287173
• T(n, k) = (k*(2*k+2)*(2*k+1)*(2*n-1)*binomial(2*(n-1),n-1))/(n*(n+1)*(n+2)) for n, k > 0 and T(0, 0) = 1. Triangle read by rows, for 0 <= k <= n.at n=41A337994