25956

Appears in sequences

• Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=36A000604
• Number of ternary cubefree words of length n.at n=10A051042
• Integers that are Rhonda numbers to base 8.at n=9A100970
• Y values of the complete set of 23 integer solutions to the Ochoa curve equation.at n=15A141145
• Eigentriangle of A001263: T(n,k) = A001263(n+1,k+1)*A102812(k).at n=34A143778
• Triangle T(n,k), read by rows, given by (1,0,2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,8,...) DELTA (0,1,0,1,0,1,0,1,0,1,0,1,0,1,...) where DELTA is the operator defined in A084938.at n=61A200545
• Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-2.at n=20A211924
• Number of three-dimensional random walks with 2n steps in the wedge region x >= y >= z, beginning and ending at the origin without crossing the wedge boundary.at n=5A245067
• Numbers n representable as x*y + x + y, where x >= y > 1, such that all x's and y's in all representation(s) of n are perfect squares.at n=33A258366
• a(n) = (n!/4!)*Sum(1/k!,k=1..n-4).at n=9A268219
• Expansion of 1/(1 - Sum_{k>=1} mu(k)*x^k), where mu() is the Moebius function (A008683).at n=35A300663
• Triangular array read by rows: The sum of squares of the number of common points in all pairs of lattice paths from (0,0) to (x,y), for 0 <= y <= x (the unnormalized second moment).at n=23A306687
• Sum of all the parts in the partitions of n into 7 squarefree parts.at n=42A308953
• The sum of squares of the number of common points in all pairs of lattice paths from (0,0) to (x,y), for x >= 0, y >= 0 (the unnormalized second moment). The table is read by antidiagonals.at n=38A324010
• The sum of squares of the number of common points in all pairs of lattice paths from (0,0) to (x,y), for x >= 0, y >= 0 (the unnormalized second moment). The table is read by antidiagonals.at n=42A324010
• a(n) = Sum_{k=1..n} floor(n/(2*k-1))^k.at n=45A350147
• Terms of A319928 that are congruent to 4 modulo 8: Numbers k == 4 (mod 8) such that there is no other m such that (Z/mZ)* is isomorphic to (Z/kZ)*, where (Z/kZ)* is the multiplicative group of integers modulo k.at n=23A372755
• Number of integer partitions of n that can be partitioned into sets with distinct sums.at n=41A381992