42432

Appears in sequences

• Sum of a(n) terms of 1/k^(5/6) first exceeds n.at n=30A056181
• Numbers k such that the sum of factorials of the digits of k equals the sum of the primes from the smallest prime factor of k to the largest prime factor of k.at n=6A074256
• Number of elements in the coprime subsets of the integers 1 to n.at n=24A087080
• a(n) = n*(n-1)*(n-2)*(3*n-2)/6.at n=18A096200
• Numbers that have exactly nine prime factors counted with multiplicity (A046312) whose digit reversal is different and also has 9 prime factors (with multiplicity).at n=5A109029
• Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=37A121346
• Number of base 22 n-digit numbers with adjacent digits differing by one or less.at n=8A126376
• Expansion of psi(-x^3) / phi(-x) in powers of x where psi(), phi() are Ramanujan theta functions.at n=29A132218
• L.g.f.: A(x) = log( 1 + Sum_{n>=1} n^(n-1)*x^n ) = Sum_{n>=1} a(n)*x^n/n.at n=5A141152
• Irregular triangle read by rows: T(n, k) = coefficients of f(n, x), where f(n, x) = (1-x)^(2*n+2) * Sum_{k >=0} (k^n * x^k).at n=64A141581
• Number of length-n sequences A over {1,2,3} with the property that all of r(A), r(r(A)), etc. are over {1,2,3}, where r is the sequence obtained by taking the run lengths in A.at n=11A181047
• Number of n X 8 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=20A188865
• Numbers with prime factorization pqrs^6.at n=24A190292
• Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y<=3z.at n=16A212509
• Triangle read by rows: the x = 1+q Narayana triangle at m=2.at n=24A243660
• Numbers k such that the product of their digits divides both k and R(k), where R(k) is the digits reverse of k.at n=40A277856
• a(n) = Sum_{k=0..floor(n/2)} k! * 2^k * (n - 2*k)!.at n=8A309618
• a(n) = (5*n + 3)!/((8*n^2 + 10*n + 3)*(n!)^2*(3*n + 2)!).at n=3A383440
• The Geode Bi-Tri infinite rectangular array, read by upward antidiagonals.at n=24A383453
• Primitive terms of A388036.at n=43A388037