19824

Appears in sequences

• Powers of fourth root of 21 rounded down.at n=13A018105
• Coordination sequence for F_4 lattice.at n=7A019558
• Denominators of continued fraction convergents to sqrt(766).at n=10A042477
• Number of (12345, 13245, 21345, 23145, 31245, 32145)-avoiding permutations.at n=8A054872
• a(n) is the smallest multiple of n such that a(n) mod 100 = n and S(n)=n where S(n) is the sum of the base-ten digits of n, or 0 if no such a(n) exists.at n=23A075154
• a(0)=1; a(n) = sigma_1(n) + sigma_3(n).at n=26A092345
• Riordan array (2-2*x-sqrt(1-8*x+4*x^2), (1-2*x-sqrt(1-8*x+4*x^2))/2).at n=28A121576
• Coefficients of A000930 expansion similar to that given for Fibonacci numbers in Roman's Umbral Calculus.at n=30A137433
• Sum of all parts of all partitions of n that do not contain 1 as a part.at n=27A138880
• Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2*x)*(1 - 2*x*(1 - x))^(n + 1)*Li(-n, 2*x*(1 - x)), where Li(n, z) is the polylogarithm.at n=51A142147
• Sequence gives the Poincaré series [or Poincare series] of an ordinal Hodge algebra, or algebra with straightening law, for a ring that the braid group on four strands acts on. It is Cohen-Macaulay.at n=17A156231
• Sum of parts in all partitions of 2n that do not contain 1 as a part.at n=14A182736
• a(n) is the smallest multiple of n such that a(n) ends with n and S(a(n))=n where S(m) is the sum of the base ten digits of m, or 0 if no such a(n) exists.at n=23A187924
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+511)^2 = y^2.at n=21A207078
• Numbers whose sum of triangular divisors is also a divisor and greater than 1.at n=25A209311
• G.f. A(x) satisfies A(A(x)-2*A(x)^2)=x/(1-2*x).at n=7A209625
• E.g.f. satisfies: A(x,q) = exp( Integral A(x,q)*A(q*x,q) dx ).at n=46A232433
• Number of length-n binary vectors beginning with 0, ending with 1, and avoiding 5 consecutive 0's and 5 consecutive 1's.at n=17A283835
• Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x^k * (1 - exp(x))).at n=74A292894
• Triangle read by rows: T(n,0) = 0 for n >= 0; T(n,2*k+1) = A152842(2*n,2*(n-k)) and T(n,2*k) = A152842(2*n,2*(n-k)+1) for n >= k > 0.at n=50A299989