78151

Appears in sequences

• Sums of 3 distinct powers of 5.at n=36A038475
• 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=19A077044
• 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=9A083669
• Triangle defined by T(n,k) = T(n-1,k-1) + Sum_{j=k..n-2} T(n-1,j)*2^j*T(j,k-1) for n>k>0 with T(n,n)=T(n,0)=1, read by rows.at n=40A152795
• Limit of rows, when read in reverse, of triangle A227372.at n=27A227377
• Number of arrays of n integers in -9..9 with sum zero.at n=5A322539
• Number of quanimous subsets of {1..n}, meaning there is more than one set partition with all equal block-sums.at n=17A371796