-413

Appears in sequences

• Matrix 10th power of inverse partition triangle A038498.at n=46A050313
• McKay-Thompson series of class 24a for Monster.at n=13A058584
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 10.at n=36A060029
• Expansion of (1-x)/(1+x+2*x^2+x^3).at n=31A078051
• A nonsense sequence.at n=22A089075
• G.f. satisfies: A(x) = 1/(1 + x*A(x^7)) and also the continued fraction: 1 + x*A(x^8) = [1; 1/x, 1/x^7, 1/x^49, 1/x^343, ..., 1/x^(7^(n-1)), ...].at n=31A101917
• Coefficients of the B-Bailey Mod 9 identity.at n=59A104468
• Complementary Aitken's array: triangle of numbers {a(n,k), n >= 0, 0<=k<=n} read by rows, defined by a(0,0)=1, a(n,0)=-a(n-1,n-1), a(n,k)=a(n,k-1)+a(n-1,k-1).at n=54A247108
• Triangle T(n, k) read by rows: row n gives the coefficients of the row polynomials of the (n+1)-th diagonal sequence of the Sheffer triangle A094816 (special Poisson-Charlier).at n=54A290311
• G.f.: Re((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=51A292042
• E.g.f.: exp(1 + x - exp(x)).at n=9A293037
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(Sum_{i=0..k} x^i/i! - exp(x)).at n=64A293051
• Expansion of Product_{k>=1} (1 + x^k/(1 + x)).at n=25A307602
• E.g.f. satisfies y'' + y' - x^3*y = 0 with y(0)=0, y'(0)=1.at n=9A318356
• a(1) = 1, a(n) = -floor(e*a(n/2)) if n is even, a(n) = n - a(n-1) if n is odd.at n=65A318388
• Square array A(n,k), n >= 0, k >= 1, read by antidiagonals: A(n,k) = exp(1/k) * Sum_{j>=0} (k*j + 1)^n / ((-k)^j * j!).at n=54A334192
• Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(k*(1 - exp(x)) + x).at n=64A335977
• Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)*T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)*T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).at n=45A341287
• For 1<=x<=n, 1<=y<=n, with gcd(x,y)=1, write 1 = gcd(x,y) = u*x+v*y with u,v minimal; a(n) = sum of the values of u+v.at n=50A345425
• Expansion of e.g.f. (2 - exp(-3*x))^(1/3).at n=4A352122