46200

Appears in sequences

• a(n) = 5*(n+1)*binomial(n+3,6).at n=6A027791
• a(n) = 28*(n+1)*binomial(n+3,8)/3.at n=4A027793
• Triangular array generated by its row sums: T(n,0)=1 for n >= 1, T(n,1)=r(n-1), T(n,k)=T(n,k-1)+r(n-k) for k=2,3,...,n, n >= 2, r(h)=sum of the numbers in row h of T.at n=40A054115
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,5,x)(rising powers of x).at n=32A062138
• Fifth column of triangle A062138 (generalized a=5 Laguerre).at n=3A062151
• Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=30A066764
• Numbers n such that sigma(n)^2 > 9*sigma_2(n) where sigma_2(n) is the sum of squares over the divisors of n.at n=24A068378
• Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10.at n=20A071687
• Numbers n such that A001414(n) = sum of composites from the smallest prime factor of n to the largest prime factor of n.at n=23A074053
• A unitary phi reciprocal amicable number: consider two different numbers r, s which satisfy the following equation for some integer k: uphi(r) = uphi(s) = (1/k) * r * s / (r-s); or equivalently, 1/uphi(r) = 1/uphi(s) = k * (1/s - 1/r); sequence gives r numbers.at n=14A080766
• Pentagorials: n-th polygorial for k=5.at n=5A084939
• Index of primorial(n) in A090958.at n=8A090959
• Numbers that can be expressed as the difference of the squares of primes in exactly eleven distinct ways.at n=7A092007
• Area of the Pythagorean triangle a = u^2 - v^2 (cf. A096382) when u=3, v=4,4,5,...at n=21A096383
• Smallest perimeter S such that exactly n distinct Pythagorean triangles with this perimeter can be constructed.at n=27A099830
• Triangle read by rows: T(n,k) is the number of deco polyominoes of height n with k cells in the first column. (A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column).at n=39A100822
• When the n-th term of this sequence is added to or subtracted from the square of the n-th prime of the form 4k + 1 (i.e., A002144(n)), the result in both cases is a square.at n=30A114200
• a(n) = n*(n^2-1)*(3*n+2).at n=12A115056
• Diagonal of polygorial array T(n,k) = n-th polygorial for k = n, for n > 2.at n=2A133401
• Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=13.at n=9A135198