-712

Appears in sequences

• Expansion of Product_{m>=1} (1+q^m)^(-10).at n=5A022605
• McKay-Thompson series of class 12d for Monster.at n=15A058492
• McKay-Thompson series of class 24a for Monster.at n=15A058584
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=47A060023
• n times the coefficient of x^n in log[1 + sum(k>=0, x^2^k)].at n=31A092462
• Triangular matrix, read by rows, equal to the matrix square of A102225, such that the first differences of row k forms row (k+1) of A102225.at n=24A102228
• Matrix inverse of triangle A104559, read by rows.at n=32A104560
• a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime.at n=15A117330
• Triangle read by rows, T[n,2i-1]=2T[n-1,i],T[n,2i]=2k-1-2T[n-1,i].at n=55A138583
• Numerators of the convolutory inverse of the primes of the form 4m+1.at n=3A225129
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 225", based on the 5-celled von Neumann neighborhood.at n=19A270945
• Expansion of Product_{k>=1} ((1 - k*x^k)/(1 + k*x^k)).at n=19A292317
• Expansion of e.g.f. Product_{k>=1} (1 + log(1 + x)^k).at n=6A298905
• Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^3)).at n=53A320120
• Expansion of Sum_{k>=1} x^k/(1 + x^k)^3.at n=31A320900
• Expansion of Product_{k>0} (1 - d(k)*x^k), where d(k) is the number of divisors of k.at n=41A321619
• a(1) = 1; a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d), where A341512(n) = sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=50A347096
• Expansion of 1/(Sum_{k>=0} x^(k^3))^2.at n=29A363776