116601

Appears in sequences

• Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.at n=21A077044
• Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0.at n=10A083669
• Numbers k such that (25*10^k - 331)/9 is prime.at n=19A295586
• Number of arrays of n integers in -10..10 with sum zero.at n=5A322540
• G.f. A(x) satisfies A(x) = 1 + x*(1 + x)^4*A(x)^5.at n=6A366273