-410

Appears in sequences

• Coefficients of the '3rd-order' mock theta function nu(q).at n=49A053254
• Expansion of (1-x)/(1-x+2*x^3).at n=19A078014
• Expansion of (1-x)/(1-x+2*x^3).at n=21A078014
• G.f. is 1/F, where x*F is g.f. for Fibonacci word (A003849).at n=49A080845
• Diagonal sums of number triangle A117901.at n=15A117903
• Diagonal sums of number triangle A117901.at n=17A117903
• Row sums of triangle A118404.at n=11A118405
• A triangular sequence from a Beraha type recursive polynomial using 5 X 5 centered tridiagonal matrices with chromatic polynomial central roots to its characteristic polynomial.at n=32A123969
• Number of partitions of n with even crank minus number of partitions of n with odd crank.at n=45A124226
• Expansion of phi(-x) * chi(-x) in powers of x where phi(), chi() are Ramanujan theta functions.at n=45A132970
• G.f. A(x) satisfies: 1 + 4x = Sum_{n>=0} x^n * [y^n] A(y)^{2^n}, so that the coefficient of y^n in the (2^n)-th power of A(y) is zero for n>1.at n=4A136639
• First differences of A175628.at n=40A175717
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=31A176602
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=32A176602
• Expansion of psi(x)^6 * phi(-x)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=39A227317
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=13A227695
• Expansion of psi(x^2)^2 * phi(-x^2)^6 + 8 * x * psi(x^2)^6 * phi(-x^2)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=26A228072
• Array of higher-order differences of the sequence (-1)^n*A000111(n) read by downward antidiagonals.at n=30A261880
• Expansion of Product_{k>=1} 1/(1 + x^k)^(k*(3*k-2)).at n=8A295123
• a(1) = 1, a(n) = -5*a(n/3) if n is divisible by 3, otherwise a(n) = n - a(n-1).at n=65A305865