47424

Appears in sequences

• Restricted partitions.at n=21A002574
• Surround numbers of an n X 2 rectangle when n is even.at n=10A061524
• Triangle with n >= k >= 0 where a(n,k) = 2^k*3^(n-k)*(C(n+1,0)+C(n+1,1)+...C(n+1,k)).at n=34A061929
• Numbers n such that there are exactly 4 primes p such that floor(n*log(n))+1<=p<=floor((n+1)*log(n+1))-1.at n=10A068362
• a(n) = Sum_{prime p <= n} n!/p.at n=6A110373
• Matrix log of triangle A098539, which shifts columns left and up under matrix square; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=38A111810
• Numbers with prime factorization pqrs^6.at n=28A190292
• Numbers k such that if x = sigma(k) - k then k = x - phi(x), where phi(k) is the Euler totient function.at n=14A239801
• Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111.at n=8A260132
• Expansion of Product_{k>=1} 1/(1 - (3*k-1)*x^(3*k-1)).at n=27A265820
• a(n) = 288*n^2 - 96*n (n>=1).at n=12A305073
• 3-deficient numbers with increasing abundancy: Numbers k such that sigma(m)/m < sigma(k)/k < 3 for all numbers m < k such that sigma(m)/m < 3.at n=19A307122
• Number of bracelets (turnover necklaces) of length n that have no reflection symmetry and consist of 6 white beads and n-6 black beads.at n=31A308401
• Pythagorean triples (X, Y, Z) that are the componentwise products of 2 primitive Pythagorean triples (x,y,z) and (r,s,t), that is, X=x*r, Y=y*s, ordered by increasing Z.at n=33A340790
• a(n) = n! * Sum_{k=1..n} 1/(k*floor(n/k)).at n=7A345682
• The number of grains of sand in the identity element for the 3D sandpile group on an n X n X n cubic grid.at n=22A351379