35623

Appears in sequences

• Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=42A001860
• Number of n X n binary arrays with all ones connected only in a 00100-00100-11111-00100 pattern in any orientation.at n=9A147325
• Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 00100-00100-11111-00100 pattern in any orientation.at n=21A147327
• Number of permutations of 7 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order.at n=2A151656
• Triangle in which the g.f. for row n is [Sum_{k>=0} C(n+k-1,k)^3*x^k]*(1-x)^(3n+1), read by rows of k=0..2n terms.at n=51A181544
• Triangle in which the g.f. for row n is [Sum_{k>=0} C(n+k-1,k)^3*x^k]*(1-x)^(3n+1), read by rows of k=0..2n terms.at n=61A181544
• Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes.at n=36A182279
• E.g.f. exp(tan(x)+tan(x)^2+tan(x)^3).at n=7A190010
• The smallest of 3 consecutive integers such that the first is divisible by the square of a prime, the second is divisible by the cube of a prime, and the third is divisible by the fourth power of a prime.at n=26A349952
• Numbers that can be written as a^2 + 3*b^2 for some a, b in A155716 and also as c^2 + 6*d^2 for some c, d in A092572.at n=30A380295