28032

Appears in sequences

• Expansion of e.g.f. tan(arcsin(arcsinh(x))) (odd powers only).at n=4A012113
• Expansion of e.g.f. exp(arctanh(arcsinh(x))).at n=9A012262
• Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=33A068540
• Irregular triangle: p(k, x) = 2*x*p(k-1, x) + (1 - x^2)*p(k-2, x) for even k, p(k, x) = 2*(k-1)*p(k-1, x) - x*p(k-2, x) for odd k.at n=54A123242
• a(n) = p(n)*p(n+2)-p(n+1), where p(n) is the n-th prime.at n=37A152530
• a(n) = n! - A003149(n-1).at n=8A182430
• Integers n such that for all i > n the largest prime factor of i(i+1)(i+2)(i+3)(i+4)(i+5) exceeds the largest prime factor of n(n+1)(n+2)(n+3)(n+4)(n+5).at n=20A193947
• Number of (n+1) X (1+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally.at n=12A232901
• Number of nX2 arrays containing 2 copies of 0..n-1 with row sums and column sums nondecreasing.at n=5A267988
• T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with row sums and column sums nondecreasing.at n=26A267990
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood.at n=14A287097
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood.at n=14A288059
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 425", based on the 5-celled von Neumann neighborhood.at n=14A288130
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 598", based on the 5-celled von Neumann neighborhood.at n=14A289769
• a(n) is the least start of exactly n consecutive numbers k that are sqrt(k)-smooth (A048098), or -1 if no such run exists.at n=5A355434
• Triangle T(n,k) in which the n-th row encodes the inverse of a 3n X 3n Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n).at n=38A363146