53791

Properties

Appears in sequences

• Expansion of 1/(x + sqrt(1-4x)).at n=10A081696
• Primes of the form 8*k^2 - 1.at n=34A090684
• Antidiagonal sums of the slanted Catalan convolution table A100247.at n=15A100249
• Primes with at least one of each odd digit and no even digits.at n=16A108418
• Riordan array (1/(1 - x*c(x) - x^2*c(x)^2), x*c(x)) where c(x) is the g.f. of A000108.at n=55A109267
• Extrapolation for (n + 1)-st odd prime made by fitting least-degree polynomial to first n odd primes.at n=16A140118
• a(n) = 32*n^2 - 1.at n=40A158563
• Primes of the form 2*p^2 + 4*p + 1, where p is also prime.at n=16A164041
• Primes of the form A177353(n) + 1 sorted with respect to increasing n.at n=43A178178
• Riordan matrix (1/(x+sqrt(1-4x)),(1-sqrt(1-4x))/(2(x+sqrt(1-4x)))).at n=55A188513
• Primes p with each odd decimal digit present at least once.at n=16A232447
• Number of lattice paths from (0,0) to (i,n-2*i) that do not go above the diagonal x=y using steps in {(1,0), (0,1)}.at n=30A357654
• T(n,k) is the number permutations p of [n] that are k-dist-increasing but not j-dist-increasing for any j<k, where p is j-dist-increasing if j>=0 and p(i)<p(i+j) for all i in [n-j]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=52A370507
• Sum of the legs of the unique primitive Pythagorean triple whose inradius is the n-th prime and whose short leg is an odd number.at n=37A382097
• Prime numbersat n=5481