-592

Appears in sequences

• Image of primes (A000040) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=34A056221
• Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=23A083365
• Determinant of n X n matrix of first n^2 terms of prime powers A000961.at n=6A119510
• Expansion of psi(-q) / f(q^3) where psi(), f() are Ramanujan theta functions.at n=55A139136
• Riordan array (1/(1+4x+x^2), x/(1+4x+x^2)).at n=17A159764
• a(0) = -1 and a(n) = (-1)^(n+1)*(3*n^2 - n + 4)/2 for n >= 1.at n=20A173247
• Expansion of psi(-x)^2 * f(-x)^6 in powers of x where psi(), f() are Ramanujan theta functions.at n=31A215600
• Expansion of f(-x^1, -x^7) * f(-x^2, -x^6) / (f(-x^3, -x^5) * f(-x^4, -x^4)) in powers of x where f(, ) is Ramanujan's general theta function.at n=49A226559
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood.at n=31A273178
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 779", based on the 5-celled von Neumann neighborhood.at n=45A273541
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=12.at n=5A275643
• G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = Sum_{n=-oo..+oo} (x - q^n)^n.at n=133A292929
• Row 2 in rectangular array A292929.at n=13A294065
• G.f.: Sum_{n>=1} (-1)^(n-1) * x^(n^2)/(1 - x^n)^n.at n=67A303506
• Triangle read by rows: T(0,0)=1; T(n,k) = 2*T(n-1,k)-2*T(n-1,k-1)+T(n-1,k-2), for k = 0, 1, ..., 2*n; T(n,k)=0 for n or k < 0.at n=30A304209
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2*T(n-1,k) - 2*T(n-2,k-1) + T(n-3,k-2) for k = 0..floor(2*n/3); T(n,k)=0 for n or k < 0.at n=42A304213
• Triangle read by rows: T(0,0)=1; T(n,k) = T(n-1,k)-2*T(n-2,k-1)+2*T(n-3,k-2) for k = 0..floor(2*n/3); T(n,k)=0 for n or k < 0.at n=42A304223
• a(1) = 1, a(n) = -floor(e*a(n/2)) if n is even, a(n) = n - a(n-1) if n is odd.at n=61A318388
• Expansion of Product_{k>=1} (1 - Sum_{j>=1} j * x^(k*j)).at n=22A329157
• Expansion of e.g.f. 1 / (1 - log(1 + 2*x) / 2).at n=6A354237