41641

Properties

Appears in sequences

• Expansion of e.g.f. sin(tanh(x)) (odd powers only).at n=4A003717
• Expansion of e.g.f. exp( tan x ).at n=9A006229
• Numerator of [x^(2n+1)] in the Taylor expansion sinh(cosec(x)-cotan(x))= x/2 +x^3/16 +37*x^5/3840 +137*x^7/92160 +41641*x^9/185794560 + 3887*x^11/117964800 +...at n=4A013522
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 81.at n=0A031669
• Numerators of coefficients in Taylor series for exp(tan(x)).at n=9A047691
• Primes which can be expressed as concatenation of powers of 4 and 0's.at n=28A066595
• Primes of the form 16*m^2 + 25, m=1,3,5,...at n=11A087856
• Primes of the form 16*m^2 + 25 for m=1,2,3,...at n=19A087857
• Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5.at n=29A107582
• Take A163498(n) written in binary, insert a 0 before every 1. a(n) is the decimal equivalent of the result.at n=42A163499
• Primes of the form floor(k+A000217(k-1)*Pi), Pi = A000796, k integer.at n=28A163580
• Primes that are the sum of squares of three positive Fibonacci numbers.at n=35A191375
• Curvature (rounded down) of the circle inscribed in the n-th golden triangle arranged in a spiral form.at n=20A228560
• Primes of the form abcabc..abcab.at n=36A228627
• Primes p such that p^6 - p^5 + 1 and p^6 - p^5 - 1 are both primes.at n=8A243522
• Primes having only {1, 4, 6} as digits.at n=21A260269
• Primes prime(k) such that (prime(k), prime(k+1)), (prime(k+2), prime(k+3)), (prime(k+4), prime(k+5)) form a triangle of area 2.at n=34A308649
• Boustrophedon primes: write the numbers 0, 1, 2, 3, ... in a triangle on a square grid in the boustrophedon manner, ending a row when a prime is reached; sequence lists primes that appear in the zeroth column.at n=9A330339
• Union of 2, A282178, and A330339.at n=37A330554
• Primes of the form k^2 + 25.at n=43A346145