45016

Appears in sequences

• Let S denote the palindromes in the language {0,1,2,3}*; a(n) = number of words of length n in the language SS.at n=11A007057
• Numbers k such that sopf(k) = 2*sopf(k+1), where sopf(k) = A008472.at n=35A064112
• a(n) = Fib(n+1)*(2*Fib(n)^2 + Fib(n)*Fib(n-1) + Fib(n-1)^2).at n=8A099015
• Number of reduced words of length n in the Weyl group E_8 on 8 generators and order 696729600.at n=13A162494
• n-th derivative of x^(x^x) at x=1.at n=8A179230
• Sum_{0<j<k<=n} s(k)-s(j), where s(j)=A002620(j) is the j-th quarter-square.at n=30A206806
• Antidiagonal sums of the convolution array A213841.at n=15A213843
• A(n,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals.at n=74A215703
• Eighth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=3A215838
• Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,-2,1.at n=19A222147
• A(n,k) is the n-th derivative of the k-th tetration of x (power tower of order k) x^^k at x=1; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=74A277537
• Expansion of e.g.f. 1/( 1 - (exp(x) - 1) * exp(exp(x) - 1) ).at n=6A362912
• Consecutive internal states of the linear congruential pseudo-random number generator (171*s + 11213) mod 53125 when started at 1.at n=5A385039