24384

Appears in sequences

• exp(arctanh(x)*cos(x)) = 1+x+1/2!*x^2-3/4!*x^4+45/6!*x^6+504/7!*x^7...at n=9A012738
• sinh(arctanh(x)*cos(x))=x+504/7!*x^7+24384/9!*x^9+2375296/11!*x^11...at n=4A012744
• Expansion of (1-x)/(1-2x-4x^2+4x^3).at n=10A052904
• Trajectory of 22 under the Reverse and Add! operation carried out in base 2.at n=18A061561
• Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.at n=29A070067
• Numbers k such that sigma(k) divides k^2.at n=21A090777
• Relates row sums of Pascal's triangle to expansion of cos(x)/exp(x).at n=14A100216
• G.f. satisfies: A(x) = 1/(1 + x*A(x^4)) and also the continued fraction: 1 + x*A(x^5) = [1; 1/x, 1/x^4, 1/x^16, 1/x^64, ..., 1/x^(4^(n-1)), ...].at n=60A101914
• a(n) = 3*2^(n-1)*(2^n-1).at n=6A103897
• Admirable numbers n such that the subtracted divisor is > sqrt(n).at n=34A109321
• Admirable numbers that set a new record for largest subtracted divisor.at n=9A109745
• a(n) = 2*a(n-1) + 2*a(n-2) - 4*a(n-3) with n>2, a(0)=0, a(1)=1, a(2)=3.at n=14A135094
• Numbers n for which sigma(n)/n=k+2/3 with integer k.at n=4A160321
• Numbers n with following property: let c = nearest cube to n that is different from n and let p = nearest prime to n that is different from n. Then |n-c| = |n-p|.at n=27A163497
• Numbers d*p where d is a perfect number and p<d a prime not dividing d.at n=21A165772
• Number of ways to choose n positive integers less than or equal to 2n such that none of the n integers divides another.at n=36A174094
• A Galton triangle: T(n,k) = 2*k*T(n-1,k) + (2*k-1)*T(n-1,k-1).at n=29A187075
• The number of sets of n positive integers strictly less than 2*n such that no integer in the set divides another.at n=37A192298
• The number of sets of n positive integers strictly less than 2*n such that no integer in the set divides another.at n=36A192298
• Square root of floor[A055859(n)/7].at n=14A204517