151552
domain: N
Appears in sequences
- Expansion of (1+3*x+4*x^2)/(1-4*x^2+4*x^4).at n=24A058582
- a(n) = (3*n+1)*2^n.at n=12A130129
- Numbers with 26 divisors.at n=10A137489
- Totally multiplicative sequence with a(p) = 7p+2 for prime p.at n=39A166675
- G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} T(n,k)^2 * x^k] / A(x)^n * x^n/n ), where T(n,k) is the coefficient of x^k in (1 + x + 2*x^2)^n.at n=27A251687
- Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.at n=13A264551
- a(n) = prime(n) * 2^n.at n=11A265127
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 222", based on the 5-celled von Neumann neighborhood.at n=19A286777
- Numbers with prime factorization Product_{k=1..w} prime(i_k) ^ e_k (where w = A001221(n) and prime(i) denotes the i-th prime number) such that i_k <> e_k for k = 1..w and { i_1, ..., i_w } = { e_1, ..., e_w }.at n=30A320252
- Numbers whose ordered prime signature is equal to the set of distinct prime indices in decreasing order.at n=30A324571
- Numbers whose product of prime indices equals their product of prime exponents (prime signature).at n=26A353503