39744

Appears in sequences

• Theta series of {E_6}* lattice.at n=47A005129
• Number of rods required to make a 3-D cube of side length n.at n=23A059986
• Generalized Catalan numbers C(6,6; n).at n=4A064344
• Maximum number of odd 2 X 2 submatrices over all 2n X 2n (0,1) matrices.at n=11A093699
• Number of Pythagorean quadruples mod n; i.e., number of solutions to w^2 + x^2 + y^2 = z^2 mod n.at n=35A096018
• If X_1,...,X_n is a partition of a 4n-set X into 4-blocks then a(n) is equal to the number of permutations f of X such that f(X_i) <> X_i, (i=1,...,n).at n=1A116220
• Triangle read by rows: t(n,m)=If[m*(n - m) == 0, 1, n!*(1 - 1/Binomial[n, m])].at n=40A155194
• Numbers with prime factorization pq^3r^6.at n=8A190467
• Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its previous elements modulo (n+1).at n=21A200253
• (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (3,4,1,2,3,4,1,2,...).at n=10A203165
• Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>=3z.at n=24A212511
• Number of (w,x,y,z) with all terms in {0,...,n} and w, x, and y even.at n=22A212759
• Square row sums of the table A008289 (A060016).at n=32A238517
• 4*(n + 7)^3 - 27*(n + 7)^2 = (4*n +1)*(n+7)^2.at n=17A245033
• Number of partitions of 3n into at most 5 parts.at n=32A256525
• Number of partitions of 4n into at most 5 parts.at n=24A256539
• Coefficients in q-expansion of E_2^2, where E_2 is the Eisenstein series shown in A006352.at n=6A281374
• Number of n X 2 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=9A283660
• p-INVERT of (1,0,0,0,0,1,0,0,0,0,0,0,...), where p(S) = 1 - S^2.at n=47A292403
• Number of words of length n, over the alphabet {a,b,c}, which have an odd number of a's and the number of b's plus the number of c's is less than or equal to 3.at n=32A342159