-1863

Appears in sequences

• Numerators in the power series of a function f such that f(f(x)) = sin(x) where f(x) = Sum_{n>=1} a(n)/2^(n-1)*x^(2n-1)/(2n-1)!.at n=4A098932
• Triangle read by rows: T(n,k) = (-1)^k*3^(n-1-2k)*binomial(n-k,k)*(4n-5k)/(n-k) (0 <= k <= floor(n/2), n >= 1).at n=17A104063
• Array read by rows: row n lists the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-j, 2j-i), as in A204154.at n=20A204155
• Riordan array ((1-x)/(1-3*x+3*x^2), x/(1-3*x+3*x^2)).at n=56A236311
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood.at n=31A270991
• O.g.f. A(x) satisfies: A(x) = 1 + Integral (x*A(x)^8)' / (x*A(x)^5)' dx.at n=8A302704
• Shifts left by 3 places under series reversion.at n=12A309564
• 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=49A347096