49248

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^12.at n=34A000735
• a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023531.at n=18A024313
• Numerator of Product_{i=1..n} (p_i + 1)/(p_i - 1) where p_i is the i-th prime.at n=15A078559
• Rectangular array read by antidiagonals: a(n, k) is the number of ways to put k labeled objects into n labeled boxes so that there are exactly two boxes with exactly one object (n, k >= 2).at n=52A131105
• Products of PartitionsQ of Fibonacci numbers.at n=8A152480
• a(n) = (n-1)^2*(n+1).at n=37A152618
• 1/5 the number of n X 2 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=5A185818
• 1/5 the number of nX6 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=1A185822
• T(n,k)=1/5 the number of nXk 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=22A185825
• T(n,k)=1/5 the number of nXk 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=26A185825
• Numbers with prime factorization pq^4r^5.at n=8A190468
• Augmentation of the triangle A055248. See Comments.at n=18A193604
• Expansion of f(x)^12 in powers of x where f() is a Ramanujan theta function.at n=34A209676
• Composite numbers such that sum_{i=1..k} (p_i/(p_i+1))/product_{i=1..k} (p_i/(p_i+1)) is an integer, where p_i are the k prime factors of n (with multiplicity).at n=30A227248
• Integers n not of form 3m+1 such that for any integer k>0, n*10^k-1 has a divisor in the set { 7, 11, 13, 37 }.at n=11A243974
• G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + x*M(x) + x*M(x)^2 is the g.f. of the Motzkin numbers A001006.at n=31A251571
• Coefficients in expansion of E_14^(-1/4).at n=2A295817
• Coefficients in expansion of (E_4^3/E_6^2)^(1/8).at n=2A299994
• Numbers with an even number of prime factors (counted with multiplicity) that can be factored into squarefree semiprimes (A320911) but cannot be factored into distinct semiprimes (A320892).at n=17A320893