47160

Appears in sequences

• n-th derivative of x^x at x=1. Also called Lehmer-Comtet numbers.at n=10A005727
• Low temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.at n=23A030047
• a(n)=sum_{k=0...n-1}B_k*A000364(n-k)*binomial(n,k) where B_k is the k-th Bernoulli number.at n=4A111161
• Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(n,4).at n=17A126958
• Triangle read by rows: T(n,k) is the number of paths in the right half-plane from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H=(2,0) steps (0 <= k <= floor(n/2)).at n=52A132885
• a(n) = (1/n)*Sum_{i=0..n-1} C(n,i)*C(n,i+1)*7^i*8^(n-i), a(0)=1.at n=4A133308
• A(n,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals.at n=76A215703
• Tenth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=1A215840
• The Wiener index of the nanostar dendrimer defined pictorially in Fig. 2 of the Madanshekaf reference.at n=0A227710
• a(n) = binomial(n-h,h)*hypergeometric([h-n/2,h-(n-1)/2],[1],4), h = floor(n/4).at n=13A246659
• Sum of the major index over all standard Young tableaux with n cells.at n=9A247386
• Triangle read by rows, Lah numbers of order 3, T(n,n) = 1, T(n,k) = 0 if k<0 or k>n, otherwise T(n,k) = T(n-1,k-1)+((n-1)^3+k^3)*T(n-1, k), for n>=0 and 0<=k<=n.at n=17A269946
• T(n,k) is 1/(k-1)! times the n-th derivative of the difference between the k-th tetration of x (power tower of order k) and its predecessor at x=1; triangle T(n,k), n>=1, 1<=k<=n, read by rows.at n=46A298605
• Sum of all the parts in the partitions of n into 8 squarefree parts.at n=45A326444
• Expansion of (1 - 3*x + 9*x^2 - 7*x^3)/(1 - 2*x - 3*x^2)^(7/2).at n=7A375260