-310

Appears in sequences

• E.g.f.: sech(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5...at n=5A012910
• sech(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5...at n=5A013024
• Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=46A051356
• a(n) = floor(Sum_{k=0..n} tan(k)).at n=34A051508
• a(n) = floor(Sum_{k=0..n} tan(k)).at n=35A051508
• a(n) = round(Sum_{k=0..n} tan(k)).at n=34A051509
• 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=37A056221
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 7.at n=29A060026
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=37A068762
• Determinant of n X n matrix defined by m(i,j) = 0 if i+j is a prime, m(i,j) = 1 otherwise.at n=19A071063
• G.f. A(x) defined by: A(x)^12 consists entirely of integer coefficients between 1 and 12 (A084067); A(x) is the unique power series solution with A(0)=1.at n=4A084212
• Matrix inverse of A100862.at n=17A107102
• Triangular matrix T, read by rows, that satisfies: [T^-k](n,k) = -T(n,k-1) for n >= k > 0, or, equivalently, (column k of T^-k) = -SHIFT_LEFT(column k-1 of T) when zeros above the diagonal are ignored. Also, matrix inverse of triangle A107876.at n=40A107889
• Expansion of k(q) = r(q) * r(q^2)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=58A112274
• Expansion of 1 + k(q) = 1 + r(q) * r(q^2)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=59A112803
• Moment sequence of tr(A^6) in USp(6).at n=5A138547
• Irregular triangle read by rows: let c = -(x - x^2), b = (-1 - a + 2 x)/x, and a = 0, expansion of p(x, n) = (a + b*x)*p(x, n - 1) + c*p(x, n - 2).at n=48A139144
• Triangle T(n,k), 0<=k<=n, read by rows given by [1,q-1,q^2,q^3-q,q^4,q^5-q^2,q^6,q^7-q^3,q^8,...] DELTA [ -1,0,-q,0,-q^2,0,-q^3,0,-q^4,0,-q^5,0,...] (for q=2) = [1,1,4,6,16,28,64,...] DELTA [ -1,0,-2,0,-4,0,-8,0,-16,0,...] where DELTA is the operator defined in A084938.at n=18A157963
• Stirling-like triangle by rows generated from (x-1)*(x-1)*(x-2)*(x-3)*(x-4)*...at n=24A158471
• Omit first term from A160534 and divide by 7.at n=50A160535