-498

Appears in sequences

• Expansion of chi(q^5) * chi(q^10) / ( chi(q) * chi(q^2)) in powers of q where chi() is a Ramanujan theta function.at n=59A128763
• Coefficients of the polynomials of a three level Hadamard matrix substitution set based on the game matrix set: MA={{0,1},{1,1}};MB={{1,0},{3,1}} Substitution rule is for m[n]:If[m[n - 1][[i, j]] == 0, {{0, 0}, {0, 0}}, If[m[n - 1][[i, j]] == 1, MA, MB]] Based on the Previte idea of graph substitutions as applied to matrices of graphs in the Fibonacci/ anti-Fibonacci game.at n=26A134265
• Coefficients of the polynomials of a three level Hadamard matrix substitution set based on the game matrix set: MA={{0,1},{1,1}};MB={{1,0},{3,1}} Substitution rule is for m[n]:If[m[n - 1][[i, j]] == 0, {{0, 0}, {0, 0}}, If[m[n - 1][[i, j]] == 1, MA, MB]] Based on the Previte idea of graph substitutions as applied to matrices of graphs in the Fibonacci/ anti-Fibonacci game.at n=30A134265
• Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+2k)^k.at n=26A253381
• Expansion of Product_{k>=1} (1 - 3*x^k).at n=24A292128
• G.f.: Im((2*i; x)_oo), where (a; q)_oo is the q-Pochhammer symbol, i = sqrt(-1).at n=19A292140
• Expansion of 1/(2 - Product_{k>=1} (1 - x^k)).at n=58A307059
• Expansion of b(x)^2 * b(x^2) / b(x^4) where b is a cubic AGM theta function.at n=16A321528
• E.g.f.: exp(1 + x^2/2 - exp(x)).at n=9A337062
• a(n) = Sum_{k=0..n} (-1)^k * binomial(2*n,k) * binomial(4*n,n-k).at n=5A368467