44520

Appears in sequences

• a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=34A011935
• a(n) = n*(n+1)*(n^2 + n + 4)/4.at n=20A061316
• Sum of all partitions of n into distinct parts.at n=40A066189
• Coefficient triangle of polynomials (falling powers) related to convolutions of A001045(n+1), n>=0, (generalized (1,2)-Fibonacci). Companion triangle is A073400.at n=9A073399
• Coefficient triangle of polynomials (rising powers) related to convolutions of A001045(n+1), n >= 0, (generalized (1,2)-Fibonacci). Companion triangle is A073402.at n=6A073401
• Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.at n=36A088072
• Numbers that can be expressed as the difference of the squares of primes in exactly seven distinct ways.at n=12A092003
• Prime(prime(n))^2-1.at n=14A092771
• Exponentiation of A132841.at n=32A132842
• a(n) = number of ways to dispose two pawns on a chessboard of size n X n (two dispositions are equivalent if one can be rotated or reflected to give the other one).at n=29A141582
• a(n) = 1728*n - 408.at n=25A157266
• Record numbers of A171063 nonzero period n solutions of x(i)=(x(i-1)+x(i-2)) mod m, as encountered in (n=1,m=1; n=1,m=2; n=2,m=1) antidiagonal order.at n=25A171061
• Record numbers of A171063 nonzero period n solutions of x(i)=(x(i-1)+x(i-2)) mod m, as encountered in (n=1,m=1; n=2,m=1; n=1,m=2) antidiagonal order.at n=26A171062
• Expansion of x^3*exp(-x)/(3*(1-x)).at n=6A182661
• Numbers n such that {largest m such that 1, 2, ..., m divide n} is different from {largest m such that m! divides n^2}.at n=26A232099
• Number of length 1+3 0..n arrays with no disjoint pairs in any consecutive four terms having the same sum.at n=13A247727
• 2-dimensional array T(n, k) listed by antidiagonals for n >= 2, k >= 1 giving the number of acyclic paths of length k in the graph G(n) whose vertices are the integer lattice points (p, q) with 0 <= p, q < n and with an edge between v and w iff the line segment [v, w] contains no other integer lattice points.at n=26A247944
• Number of length 2+2 0..n arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero.at n=34A250321
• The magic constants of most-perfect magic squares of order 8 composed of distinct prime numbers.at n=4A259733
• Numbers k such that floor(k^(1/m)) divides k for all integers m >= 1.at n=45A261205