-419
domain: Z
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=8A001486
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=8A050267
- Shifts left under reversion.at n=6A067145
- a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=49A073891
- Diagonal sums of the Fibonacci related number triangle A110314.at n=40A110315
- Diagonal sums of triangle A110324.at n=28A110326
- Row sums of a number triangle related to the Pell numbers.at n=20A110331
- Diagonal sums of number a triangle related to the Pell numbers.at n=40A110332
- a(n) = -n^2 + 9*n + 23.at n=26A126719
- First differences of A142705.at n=23A142888
- First differences of A169701.at n=33A169702
- First differences of A000463.at n=41A188652
- Second differences of A000463; first differences of A188652.at n=28A188653
- Irregular triangle read by rows in which row n gives numerators of the coefficients of the partition class polynomial Hpart_n(x), n >= 1.at n=3A222031
- The c coefficients of the transform a*x^2 + (4*a/k - b)*x + 4*a/k^2 + 2*b/k + c = 0 for a,b,c = 1,-1,-1, k = 1,2,3...at n=41A229526
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} x^k = Sum_{k=0..n} A_k*(x-3*(-1)^k)^k.at n=25A249269
- G.f.: Sum_{n>=0} x^n / (1+x)^(2*n+1) * [Sum_{k=0..n} C(n,k)^2 * x^k] * [Sum_{k=0..n} C(n,k)^2 * (-x)^k].at n=6A249891
- a(n) = A000730(7*n).at n=26A282941
- Expansion of e.g.f. 1/(1 + (exp(x) - 1)/(1 + (exp(x) - 1)^2/(1 + (exp(x) - 1)^3/(1 + ...)))), a continued fraction.at n=6A301923
- a(n) = -4*a(n-1) - 3*a(n-2) + a(n-3), a(0) = 1, a(1) = -2, a(2) = 4.at n=7A322504