31200

Appears in sequences

• a(n) = n*(n+1)^2/2.at n=39A006002
• Theta series of D_6 lattice.at n=22A008428
• Expansion of 1/(1 - x^7 - x^8 - ...).at n=56A017901
• Theta series of extremal odd unimodular lattice D_8^{+2} with minimal norm 2 in dimension 16.at n=4A032802
• Smallest number that is palindromic (with at least 2 digits) in n bases.at n=38A037183
• Denominators of continued fraction convergents to sqrt(623).at n=7A042197
• Number of step shifted (decimated) sequences using exactly four different symbols.at n=8A056378
• Number of primitive (aperiodic) step shifted (decimated) sequences using exactly four different symbols.at n=8A056388
• Numbers k such that sigma (x) = k has exactly 12 solutions.at n=32A060676
• Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=6A097696
• G.f. satisfies: A(x) = 1/(1 + x*A(x^7)) and also the continued fraction: 1 + x*A(x^8) = [1; 1/x, 1/x^7, 1/x^49, 1/x^343, ..., 1/x^(7^(n-1)), ...].at n=50A101917
• Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=31A112536
• Product of the nonzero exponents in the prime factorization of n!.at n=29A135291
• Product of the nonzero exponents in the prime factorization of n!.at n=28A135291
• Positive integers n such that n^2 = (x^4 - y^4)*(z^4 - t^4) where the pairs of integers (x,y) and (z,t) are not proportional.at n=24A147854
• Fibonacci double product triangle:If[n == 1, 1, If[n == 0, 1, Product[Fibonacci[(i - 1)]*Fibonacci[i], {i, 2, n}]]];t(n,m)=c(n)/(c(m)*c(n-m)).at n=32A173886
• Fibonacci double product triangle:If[n == 1, 1, If[n == 0, 1, Product[Fibonacci[(i - 1)]*Fibonacci[i], {i, 2, n}]]];t(n,m)=c(n)/(c(m)*c(n-m)).at n=31A173886
• Triangle, see Mathematica code.at n=25A173887
• Triangle, see Mathematica code.at n=23A173887
• Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-2.at n=37A180292