21894

Appears in sequences

• Expansion of (psi(x^2) / psi(-x))^3 in powers of x where psi() is a Ramanujan theta function.at n=15A001937
• Trajectory of 3 under map n->31n+1 if n odd, n->n/2 if n even.at n=11A037113
• Number of compositions of n where the smallest part is greater than or equal to the number of parts.at n=46A098131
• Left edge of the triangle in A033291.at n=40A192735
• G.f.: A(x) = 1 + Sum_{n>=1} x^(n^2) * ((1-x)^n + 1/(1-x)^n).at n=46A197707
• Number of (n+1)X(6+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=2A231261
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=30A231263
• Number of (3+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=5A231265
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 94", based on the 5-celled von Neumann neighborhood.at n=41A270135
• Expansion of Sum_{k>=2} x^prime(k) / (1 - Sum_{k>=2} x^prime(k))^2.at n=36A281853
• a(n) = 2*a(n-1) - a(n-3) for n >= 3, where a(0) = 2, a(1) = 4, a(2) = 6, a(3) = 8.at n=20A288603
• Expansion of the e.g.f. log((1 - x) / (1 - 2*x)) / (1 - x)^5.at n=5A355414
• Sum over the j-th term of the (n-j)-th inverse binomial transform of the Bell numbers (A000110) for all j in [n].at n=9A361380
• a(n) = Sum_{j=1..n} Sum_{k=1..n} phi(2*j*k) / phi(k).at n=31A372664