-725

Appears in sequences

• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=40A074170
• Expansion of (1 - x)/(1 - 2*x + 3*x^2) in powers of x.at n=15A087455
• Values of y arising from representations of n >= 11 in A085514.at n=38A102775
• Expansion of c(q^4) / c(q) in powers of q where c() is a cubic AGM theta function.at n=31A123649
• Triangle, matrix inverse of A124733, companion to A123965.at n=32A126124
• Numerator of Hermite(n, 1/22).at n=3A159806
• Expansion of Product_{k>=1} (1-x^(5*k))/(1-x^(2*k)).at n=47A262364
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood.at n=15A270285
• E.g.f.: 2*exp(x)/(exp(2*x)+1+2*x).at n=5A272230
• a(n) = Sum_{k >= 0}(-1)^k*binomial(n,5*k).at n=12A289306
• a(n) = Sum_{k>=0} (-1)^k*binomial(n, 5*k+2).at n=12A289387
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 + 2*k*x + k*(k+4)*x^2).at n=49A307819
• Inverse Euler transform of n^2.at n=15A316152
• Expansion of 1/Sum_{k>=0} x^(k^3).at n=53A323633
• First term of n-th difference sequence of (floor(r*k)), r = (1+sqrt(5))/2, k >= 0.at n=11A325745
• First term of n-th difference sequence of (floor(r*k)), r = (3+sqrt(5))/2, k >= 0.at n=11A325747
• a(n) = Sum_{k=1..n} mu(k)*k^3.at n=22A336277
• a(n) = Sum_{k=1..n} mu(k)*k^3.at n=23A336277
• a(n) = Sum_{k=1..n} mu(k)*k^3.at n=24A336277
• Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3*x, p(n,x) = u*p(n-1,x) + v*p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 3*x - 2*x^2.at n=51A368155