-359

Appears in sequences

• Numerator of [x^n] in the Taylor series arccosh(exp(x)-arctanh(x))= x-x^2/6-x^3/72 -359*x^4/2160 -1681*x^5/51840 -52981*x^6/435456 -...at n=3A013325
• a(n) = A006496(n)/2.at n=9A045873
• Expansion of (1-x)^(-1)/(1-2*x+2*x^2+x^3).at n=12A077861
• Expansion of (x - 1)/(1 - x^2 + x^3 + x^4 - x^5).at n=56A115413
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=18A141354
• a(n)=1-4*n-4*n^2.at n=9A184882
• Value of y in the Diophantine equation x^3 + y^3 = n*z^3 (with x>0 and minimal and x >= y and y != 0).at n=16A190580
• Imbalance of the sum of parts of all partitions of n.at n=13A194797
• Values of n such that L(14) and N(14) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=2A227517
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=20A227695
• 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=40A228072
• G.f.: x^((k^2 + k)/2) / (Product_{i=1..k} (1 - x^i) * Product_{r>=1} (1 + x^r)) with k = 2.at n=54A246581
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.at n=19A269512
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood.at n=11A270078
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 261", based on the 5-celled von Neumann neighborhood.at n=9A271064
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood.at n=11A272505
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 541", based on the 5-celled von Neumann neighborhood.at n=44A272808
• Expansion of q^(-2/5) * (r(q^2) + r(q)^2) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=48A285555
• Expansion of e.g.f. Product_{k>=0} exp(-x^(3*k+1)).at n=6A293565
• G.f. A(x) satisfies: A(x) = (1/(1 + x)) * A(x^2)*A(x^3)*A(x^4)* ... *A(x^k)* ...at n=67A307596