29133

Appears in sequences

• First row of spectral array W(sqrt(3/2)).at n=12A022163
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (primes).at n=35A024604
• Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4).at n=64A046781
• a(n) = 3*a(n-2) + 2*a(n-3) for n > 2, a(0)=1, a(1)=0, a(2)=3.at n=16A053088
• a(n) = (4^(n+1) + 6n + 5)/9.at n=8A073724
• Expansion of (1 - x)^(-1)/(1 + x - 2*x^2).at n=16A077898
• a(0)=1, a(n)=2^n+n-2*a(n-1).at n=17A082383
• a(1) = 3; a(n) = smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=41A083993
• Array, A(n, k) = ((n+2)^(k+1) + (k+1)*n*(n+1) - 1)/(n+1)^2, read by antidiagonals.at n=63A094250
• a(n) = a(n-1) + 3*a(n-2) - a(n-3) - 2*a(n-4), n > 3.at n=16A133993
• a(n) = 6*a(n-1) - 3*a(n-2), a(1) = 1, a(2) = 6.at n=6A138395
• Expansion of f(q) * f(q^5) / phi(-q^2)^2 in powers of q where f(), phi() are Ramanujan theta functions.at n=30A145722
• Triangle read by rows: T(n,k) = number of nonequivalent dissections of an n-gon into k polygons by nonintersecting diagonals up to rotation and reflection.at n=62A295634
• Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of g.f. 1/(1 - 2*k*x + k*x^2).at n=51A342133
• Consecutive internal states of the linear congruential pseudo-random number generator (321*s + 123) mod 10^5 when started at 1.at n=4A383128