25194

Appears in sequences

• Fourth convolution of Catalan numbers: a(n) = 4*binomial(2*n+3,n)/(n+4).at n=8A002057
• Coefficients of Chebyshev polynomials.at n=16A005583
• Triangle of central factorial numbers T(2*n,2*n-2*k), k >= 0, n >= 1 (in Riordan's notation).at n=47A008957
• Catalan's triangle with right border removed (n > 0, 0 <= k < n).at n=63A030237
• Triangle formed from odd-numbered columns of triangle of expansions of powers of x in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle.at n=46A039598
• Sin(n) decreases monotonically to -1.at n=40A046964
• T(n,k)=M(2n+3,n+3,k+3), 0<=k<=n, n >= 0, array M as in A050144.at n=36A050156
• T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.at n=47A050160
• T(n, k) = S(2n+2, n+2, k+2) for 0<=k<=n and n >= 0, array S as in A050157.at n=37A050163
• Triangle T(n,k) = M(2n,k,-1), with 0 <= k <= n, n >= 0, and array M is defined in A050144.at n=53A050166
• (Terms in A014476)/2.at n=47A051497
• a(n) = (5n+1)*C(4n,n)/(3n+1).at n=5A052204
• Triangle read by rows giving partial row sums of triangle A033184(n,m), n >= m >= 1 (Catalan triangle).at n=57A054445
• Numbers k such that sigma(k+1) divides sigma(k), where sigma(k) is the sum of positive divisors of k.at n=32A058073
• A diagonal of A036969.at n=8A060493
• If n = D0*10^0 + D1*10^1 + D2*10^2 + .. + Dk*10^k define f(n) = D0*0^10 + D1*1^10 + D2*2^10 + .. + Dk*k^10 (e.g. if n = 421 then f(n) = 4*2^10 + 2*1^10 + 1*0^10 = 4098). Sequence gives values of n such that f(n) is divisible by n.at n=14A065110
• Successive maxima in sequence A007365.at n=13A065933
• Numbers k such that gcd(sigma(k), sigma(k+1)) > k.at n=43A066025
• a(n) = lcm(1..n) / ((n+1)(n+2)...(n+k)) where k is the largest number which gives an integral value.at n=18A069491
• Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n,0)=A006013(n), a(n+1,n)=A001764(n+1), a(n,m) = Sum A001764(n-k)*a(n,k), k=0..m.at n=29A073148