21360

Appears in sequences

• a(n) = (n^3 + 2*n)/3.at n=40A006527
• 45-gonal numbers: n*(43*n-41)/2.at n=31A098924
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 0), (0, 0, 1), (1, 1, -1)}.at n=10A148443
• One third of product plus sum of three consecutive nonnegative integers; a(n)=(n+1)(n^2+2n+3)/3.at n=39A167875
• a(n) = n*(4*n^2 - 3*n + 5)/6.at n=31A174723
• Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=n+|y-z|.at n=40A212686
• Number of binary strings of length n avoiding "squares" (that is, repeated blocks of the form xx) with |x| > 2.at n=17A229614
• Positive integers n such that the Zeckendorf (Fibonacci) representation of n^2 consists of two consecutive identical blocks.at n=8A290263
• Number of even parts in the partitions of n into 10 parts.at n=42A309662