25008

Appears in sequences

• a(n) = floor(Fibonacci(n)/3).at n=25A004696
• Average theta series of odd unimodular lattices in dimension 12.at n=5A029751
• Fourier coefficients of E_{gamma,2}*E_{0,4}.at n=5A035036
• Number of self-avoiding walks on a tetrahedral (diamond) net, having 2n steps and forming a closed loop.at n=8A038515
• a(n) = (F(8*n+1) - 1)/3 where F=A000045 (the Fibonacci sequence).at n=3A049654
• a(n+1) = a(n)/2 if 2|a(n), a(n)/3 if 3|a(n), a(n)/5 if 5|a(n), a(n)/7 if 7|a(n), a(n)/11 if 11|a(n), a(n)/13 if 13|a(n), otherwise 17*a(n)+1.at n=6A057534
• Associated with alternating row sums of array in A094568.at n=5A094569
• G.f. satisfies: A(x) = 1/(1 + x*A(x^6)) and also the continued fraction: 1+x*A(x^7) = [1;1/x,1/x^6,1/x^36,1/x^216,...,1/x^(6^(n-1)),...].at n=63A101916
• Number of paths of length n between two arbitrary, distinct vertices in K6, the complete graph on 6 vertices.at n=12A108508
• Number of exceptional sets of roots of type D_n. Also the number of unordered factorizations of the Coxeter element.at n=4A137207
• Maximal length of rook tour on an n X n+3 board.at n=31A152134
• Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n.at n=13A208973
• Numbers k that divide the base-5 reversal of k.at n=14A222816
• a(n) = 2^n mod n^3.at n=37A233442
• a(n) = round(Fibonacci(n)/3).at n=25A293544
• Numbers k such that Bernoulli number B_{k} has denominator 46410.at n=4A295590
• a(n) is the number of vertices formed by n-secting the angles of an octagon.at n=42A335770
• Triangle read by rows: T(n,k) = number of open trails of length k starting and ending at fixed distinct vertices in the complete undirected graph on n labeled vertices, for n >= 1 and k = 0 .. n*(n-1)/2.at n=38A357886