63954

Appears in sequences

• Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...at n=9A012912
• sinh(arcsin(x) + sin(x)) = 2*x+8/3!*x^3+42/5!*x^5+1192/7!*x^7 ... .at n=4A012917
• a(n) = (2/(3*n-1))*binomial(3*n,n).at n=8A024485
• a(n) = number of (s(0), s(1), ..., s(2*n-1)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 2, s(2*n-1) = 5. Also a(n) = T(2*n-1,n-2), where T is the array defined in A026009.at n=8A026017
• Expansion of Molien series for 32-D extraspecial group 2^{1+2*5}.at n=4A030536
• (2^n+1)*(2^n+2)*(2^n+4)*(2^n+6)*(4^n+15*2^n+176)/8!.at n=5A030539
• Numbers n such that n^2 = (1/3)*(n+floor(sqrt(3)*n*floor(sqrt(3)*n))).at n=4A081065
• Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1.at n=4A099010
• Numbers n such that 6*10^n + 8*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=13A103046
• Indices of primes occurring in A030284.at n=39A107365
• Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles, including fixed points.at n=7A164716
• Number of distinct solutions of sum{i=1..8}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=4A180810
• Triangle of coefficients of polynomials v(n,x) jointly generated with A210755; see the Formula section.at n=49A210756
• Shiraishi numbers: a parametrized family of solutions c to the Diophantine equation a^3 + b^3 + c^3 = d^3 with d = c+1.at n=37A226903
• Number of length n+6 0..2 arrays with at most one downstep in every n consecutive neighbor pairs.at n=10A255113