-568

Appears in sequences

• n-th derivative of x^x at 1, divided by n.at n=8A005168
• Expansion of e.g.f.: tan(tanh(log(1+x))).at n=7A009711
• McKay-Thompson series of class 18i for the Monster group.at n=34A112157
• Riordan array (1/(1+xc(-2x)), xc(-2x)/(1+xc(-2x))), c(x) the g.f. of A000108.at n=24A114189
• Triangle A124029 with the (0,0) entry replaced by 4.at n=52A123966
• Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n triangular matrix: 4 on the main diagonal, -1 of the two adjacent subdiagonals, 0 otherwise.at n=52A124029
• a(n) = a(n-1) - 64*a(n-2), a(0)=1, a(1)=8.at n=3A133671
• Let p(x) = 1063*x + 867*x^2 + 676*x^3 + 322*x^4 + 124*x^5 + 36*x^6 + 7*x^7 + x^8, expansion of the reciprocal polynomial of p(x).at n=8A158375
• Expansion of eta(q)^6 * eta(q^2) / eta(q^4)^2 in powers of q.at n=32A245643
• Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+k)^k.at n=43A247236
• Alternating sum of 12-gonal (or dodecagonal) numbers.at n=15A266088
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 195", based on the 5-celled von Neumann neighborhood.at n=15A270692
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 838", based on the 5-celled von Neumann neighborhood.at n=39A273682
• T(n,k) is (1/n) 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=37A295027
• A(n,k) is (1/n) times the n-th derivative of the k-th tetration of x (power tower of order k) x^^k at x=1; square array A(n,k), n>=1, k>=1, read by antidiagonals.at n=53A295028
• Square array A(n, k) = A329644(prime(n)^k), read by falling antidiagonals: (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), ...at n=39A329637
• Expansion of 1 / Sum_{k in Z} x^k / (1 - x^(5*k+1)).at n=33A375062