-506

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^14.at n=7A010821
• Expansion of (1-x)^(-1)/(1+x^2+2*x^3).at n=19A077890
• Triangle M(k,n) read by rows: coefficients of Meixner polynomials.at n=42A094368
• Self-convolution 6th power equals A106224, which consists entirely of digits {0,1,2,3,4,5} after the initial terms {1,6}.at n=6A106225
• Expansion of f(-q)^2*R(q) in powers of q.at n=1A122267
• Irregular triangle: p(k, x) = 2*x*p(k-1, x) + (1 - x^2)*p(k-2, x) for even k, p(k, x) = 2*(k-1)*p(k-1, x) - x*p(k-2, x) for odd k.at n=39A123242
• Triangle T(n,k) = A136451(n,k), except T(0,0)=2.at n=58A124018
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=45A131259
• Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n matrix: 2 on the main antidiagonal, -1 on the adjacent sub-antidiagonals and 0 otherwise.at n=58A136451
• G.f. 1/( (1 + x)^7*(1 -7*x +28*x^2 -84*x^3 +210*x^4 -462*x^5 +924*x^6 -1463*x^7 +1738*x^8 -1463*x^9 +924*x^10 -462*x^11 +210*x^12 -84*x^13 +28*x^14 -7*x^15 +x^16) ).at n=8A158078
• Hankel transform of A052702.at n=36A160705
• A (-1,-2) Somos-4 sequence associated to the elliptic curve y^2 +y = x^3 +3*x^2 +x.at n=8A178376
• Expansion of -2*x / ( (2*x-1)*(4*x^2+3*x+1) ).at n=9A200561
• G.f. A(x) satisfies: A( A(x)^2 - x*A(x) ) = x^3.at n=8A272411
• Expansion of chi(-x^4)^4 * f(-x^4)^2 * f(-x)^2 in powers of x where chi(), f() are Ramanujan theta functions.at n=33A279955
• Expansion of Product_{k>=1} (1 + x^(2*k-1))^(2*k-1)/(1 + x^(2*k))^(2*k).at n=34A284467
• Expansion of Product_{k>=1} 1/(1 + x^k)^p(k), where p(k) = number of partitions of k (A000041).at n=20A304784
• Expansion of Product_{k>=1} theta_4(x^k), where theta_4() is the Jacobi theta function.at n=47A320908
• a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/2)} (-1)^k * binomial(n-k,k) * a(n-2*k-1).at n=11A352865
• Expansion of (1/x) * Series_Reversion( x * (1+x^3/(1-x))^2 ).at n=12A369077