19394

Appears in sequences

• a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=41A014818
• Expansion of (3+8*x-3*x^2-2*x^3)/((x^2+4*x+1)*(x^2-2*x-1)).at n=7A111639
• Table a(k,i), read by antidiagonals, in which the n-th row comprises A214206(n) in position 0 followed by a second order recursive series G in which each product G(i)*G(i+1) lies in the same row of A001477 (interpreted as a square array - see below).at n=29A182439
• G.f.: exp( Sum_{n>=1} (x^n/n) / Product_{d|n} (1 - n*x^d/d) ).at n=11A198304
• Number of ways to reciprocally link elements of a 4 X n array either to themselves or to exactly two horizontal and antidiagonal neighbors, without consecutive collinear links.at n=10A220709
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood.at n=30A271154
• Coefficients of 1/(Sum_{k>=0} round((k+1)*r)(-x)^k), where r = sqrt(2).at n=15A289912