19353

Appears in sequences

• Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=35A046961
• Expansion of ( 1-x ) / ( 1-x-3*x^2+x^3 ).at n=14A052973
• First of three consecutive Ulam numbers (A002858) in arithmetic progression with difference 22.at n=10A068856
• Smallest k such that both k-n and k+n are primes and there are no primes between them.at n=20A087378
• a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=3.at n=13A087956
• Expansion of g.f. (1-6*x+7*x^2)/(1-7*x+11*x^2-x^3).at n=8A216949
• a(n) is the smallest number m, such that m+n is the next prime and m-n is the previous prime.at n=19A282690
• Numbers k == 33 (mod 60) such that 2k+1, 2k+5, 3k+2 and 3k+8 are all primes.at n=5A283552
• Numbers k such that k![4] - 2 is prime, where k![4] = A007662(k) = quadruple factorial.at n=37A283554
• Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) = sum of the k-th powers of multinomials M(n; mu), where mu ranges over all compositions of n.at n=32A326322
• a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n,k)^3 * a(k).at n=4A336195
• Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 3*x, p(n,x) = u*p(n-1,x) + v*p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2*x - x^2.at n=29A367301