-1015

Appears in sequences

• Expansion of e.g.f. 1/(1 - x*exp(x) + x^2*exp(2*x)).at n=5A002983
• a(n) = 3^n - n^10.at n=2A024033
• Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=34A108481
• Matrix inverse of triangle A098568, where A098568(n, k) = C( (k+1)*(k+2)/2 + n-k-1, n-k) for n>=k>=0.at n=32A121434
• Triangle read by rows: matrix product of the Stirling numbers of the first kind with the binomial coefficients.at n=31A126353
• A129065 with v=x instead of v=1: recursive polynomial coefficient triangle.at n=18A136452
• A nonsense sequence.at n=63A139336
• A nonsense sequence.at n=63A139343
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=34A235324
• Expansion of q^(-1) * f(-q^3, -q^4)^3 / (f(-q^1, -q^6)^2 * f(-q^2, -q^5)) in powers of q where f() is Ramanujan's two-variable theta function.at n=34A246713
• Array of higher-order differences of the sequence (-1)^n*A000111(n) read by downward antidiagonals.at n=34A261880
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood.at n=19A271464
• Expansion of Product_{k>=1} (1 - q^k)^8/(1 - q^(7*k)) in powers of q.at n=44A282942
• G.f. A(x) satisfies: 1 + x = Sum_{n>=0} x^n*(A(x)^n + 1)^n/(1 + x*A(x)^n)^(n+1).at n=10A324617
• Irregular triangular array read by rows: row n shows the coefficients of this polynomial of degree n: (1/n!)*(numerator of n-th derivative of (1+x)/(x^2-3x+1)).at n=30A328647
• G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (x*y)^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=84A355344
• Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^floor((k+1)/2) * A099927(n,k).at n=23A383715