14532

Properties

Appears in sequences

• Number of degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n.at n=18A001037
• Number of 7-level labeled rooted trees with n leaves.at n=5A001669
• Number of n-step mappings with 5 inputs.at n=6A005946
• a(n) = (1/n) * Sum_{ d divides n } mu(n/d) * (2^d - 1).at n=17A059966
• Number of orbits of length n in map whose periodic points are A000051.at n=17A060477
• Numbers k such that cototient(k) is a square and sets a new record for squares.at n=28A063753
• Triangle read by rows: T(n,k) is number of peakless Motzkin paths of length n and having k UHH...HD's starting above level 0, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).at n=50A098073
• Structured triakis icosahedral numbers (vertex structure 4).at n=11A100172
• Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime.at n=9A104972
• Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.at n=34A114166
• Expansion of x*(1 + x^2 + x^4)/(1 - x - x^3 - x^5 - x^7).at n=22A117761
• Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of 2 n steps taken from {(-1, -1), (-1, 0), (-1, 1), (1, 0), (1, 1)}.at n=4A151424
• Array read by antidiagonals of higher order Bell numbers.at n=49A153277
• Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m.at n=37A175356
• Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=17A178475
• Triangular array read by rows: row n shows the coefficients of the polynomial u(n) = c(0) + c(1)*x + ... + c(n)*x^(n) which is the numerator of the n-th convergent of the continued fraction [k, k, k, ... ], where k = (x + 2)/(x + 1).at n=38A231732
• Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7.at n=10A252109
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 131", based on the 5-celled von Neumann neighborhood.at n=27A270223
• Positive even numbers which are neither of the form p + 2^m + 1 nor of the form p + 2^m - 1 with p prime.at n=20A270446
• a(n), n>1, is the smallest number k whose symmetric representation of sigma(k) has two parts and has a larger number of legs in its two parts than a(n-1); a(1)=3.at n=24A279105