58380

Appears in sequences

• Theta series of lattice Kappa_10.at n=8A015232
• T(n,k) is the number of size k ordered submultisets of the regular multiset {1_1,1_2,...,1_(n-1),1_n, ... ,i_1,i_2,...,i_(n-1),i_n, ... ,n_1,n_2,...,n_(n-1),n_n} (which contains n copies of i for 1 <= i <= n).at n=26A234574
• Triangle read by rows: T(m,n) = number of ways of distributing n distinguishable balls into m distinguishable bins of size 4 where empty bins are permitted (m >= 1, 1 <= n <= 4m).at n=31A248846
• a(n) = n*(n + 1)*(4*n - 1)/3.at n=35A268684
• Expansion of 1/(1 + x + x/(1 + x^2 + x^2/(1 + x^3 + x^3/(1 + x^4 + x^4/(1 + ...))))), a continued fraction.at n=46A292854
• Coefficients T(n,k) of x^(4*n+1-k)*y^k in A(x,y) for n >= 0, k = 0..3*n+1, where A(x,y) satisfies: y = Sum_{n=-oo..+oo} (-x)^(n^2) * A(x,y)^((n-1)^2), as an irregular triangle read by rows.at n=43A356501
• a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero dodecahedral numbers in exactly n ways, or -1 if no such integer exists.at n=22A360216