19570

Appears in sequences

• a(n) = n*(n + 1)*(n^2 - 3*n + 5)/6.at n=19A006484
• Harmonic Molien series for Conway group Con.0.at n=42A008924
• a(n) = Sum_{k=1..n} lcm(n,k).at n=37A051193
• Number of fixed points in all 231-avoiding involutions in S_n.at n=12A059570
• Number of non-associative closed binary operations on a set of order n.at n=2A079172
• Records in A031883 (positions).at n=12A171924
• Diagonal sums of triangle A191490.at n=12A191491
• Minimal sum s of n distinct squares such that s is divisible by n.at n=37A215574
• The expansion of R(q)^-5 in powers of q where R() is the Rogers-Ramanujan continued fraction.at n=27A229793
• a(n) = n*(n + 1)*(17*n - 14)/6.at n=19A237617
• If n <= 5 then a(n) = 1, if 6 <= n <= 8 then 2, if n = 9 or 10 then 3, if n = 11, 12 or 13 then n-7; otherwise a(n) = 2*a(n - 4) + a(n - 12).at n=53A239905
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 545", based on the 5-celled von Neumann neighborhood.at n=26A272836
• a(n) = 12*n^2 + 10*n - 30.at n=40A277982
• a(n) = a(n-1) + 2*a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1.at n=15A298415
• G.f. A(x) satisfies: A(x) = 1 + x*A(x^2)/(1 - x)^2.at n=39A307889
• a(n) is the number of partitions of 72*n + 42 into 10 odd squares.at n=40A323891
• Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) is the number of interior vertices where exactly four lines cross.at n=45A336490
• Row sums of the triangular array A357431.at n=42A357417
• Position of first appearance of n in the flattened version of the triangle A384877, whose m-th row lists the lengths of maximal anti-runs in the binary indices of m.at n=6A384878