28532

Appears in sequences

• Sum_{i=0..n} Sum_{j=0..i} a(j) * a(i-j) = (-7)^n.at n=6A085456
• a(n) = 4*Sum_{i=0..n-1} C(2*i+1, i)*C(n-1, n-1-i)*(-1)^(n-1-i)*2^i for n > 0, a(0) = 1.at n=6A085458
• <h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=38A115376
• G.f. A(x) satisfies: A(x) = Sum_{n>=0} x^n * (A(x) + (1+x)^n)^n.at n=7A302061
• Numbers that are the sum of eight fourth powers in exactly ten ways.at n=30A345842
• a(n) = (3*n-1)*(n^4-18*n^3+179*n^2-582*n+720)/120.at n=18A381193