-345

Appears in sequences

• Expansion of log(1+x)*cosh(tan(x)).at n=6A009414
• Expansion of log(1+x)/cos(sinh(x)).at n=6A009426
• cos(sec(x)*arcsin(x))=1-1/2!*x^2-15/4!*x^4-345/6!*x^6-11263/8!*x^8...at n=3A012787
• a(n) = bin_prime_sum(fibonacci(A001651[n])), where fibonacci(A001651[n]) is A014437[n].at n=41A059878
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=37A060023
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=46A062187
• Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal.at n=24A102225
• Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=26A110668
• Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=27A110668
• Triangle T, read by rows, equal to the matrix product T = H*C*H, where H is the self-inverse triangle A118433 and C is Pascal's triangle.at n=23A118438
• Matrix inverse of triangle A121335, where A121335(n,k) = C( n*(n+1)/2 + n-k + 1, n-k) for n>=k>=0.at n=23A121440
• Floor of reciprocal of Zeta'(n), where Zeta'(n) is the derivative of Riemann zeta function.at n=6A153517
• Triangle T(n,k) read by rows. Matrix inverse of A179749.at n=60A179750
• Coefficient array for orthogonal polynomials p(n,x)=(x-(2n-1))*p(n-1,x)-(2n-2)^2*p(n-2,x), p(0,x)=1,p(1,x)=x-1.at n=15A182826
• E.g.f. 1/sqrt(1+2x+4x^2).at n=5A182827
• Euler transform is sequence A004016.at n=3A192733
• 2*A197072(n-1) - A197072(n).at n=15A197100
• Triangle read by rows of coefficients of polynomials generated by the Han/Nekrasov-Okounkov formula.at n=18A234937
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=15A272346
• First differences of A260443.at n=13A277197