39732

Appears in sequences

• Orders of noncyclic simple groups (without repetition).at n=24A001034
• Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=42A001766
• Sort then Add, a(1)=3.at n=15A033893
• a(n) = lcm(n,n+1,n+2).at n=41A033931
• Rearrangement of positive integers so that the successive ratios (of the larger to the smaller term) are all distinct integers. a(m)/a(m-1) = a(k)/a(k-1) iff m = k (assuming a(m) > a(m-1), otherwise the ratio a(m-1)/a(m) is to be considered). Priority is given to smallest number not included earlier rather than to the successive ratio that has not occurred earlier.at n=57A084337
• Number of edges in LCM of graphs K_n and C_4.at n=42A098585
• Orders of non-cyclic simple groups (with repetition).at n=25A109379
• a(1) = 6; for n>1, a(n) = prime(n)*(prime(n)^2 - 1)/2.at n=13A117762
• Half of product of three numbers: n-th prime, previous and following number.at n=13A127918
• Orders of simple groups which are non-cyclic and non-alternating.at n=21A137863
• a(n) = phi(n)*T(n), where phi(n) is Euler's totient function (A000010) and T(n) = n*(n+1)/2 is the n-th triangular number (A000217).at n=42A143268
• Primitive non-solvable numbers: orders of non-solvable groups such that all groups with order a proper divisor of that order are solvable.at n=11A216480
• (Denominators of Cauchy numbers of the second kind hat c_{2n})/6.at n=20A222561
• Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=34A253218
• Integer areas of integer-sided triangles where at least one of the three altitudes is of prime length.at n=27A256579
• Primitive non-solvable numbers: elements of A056866 not divisible by any earlier term.at n=9A257146
• a(n) = 2n*(n+1)*(2n+1).at n=21A300758
• a(0) = 0, a(1) = 1 and a(n) = 6*a(n-1)/(n-1) + 4*a(n-2) for n > 1.at n=11A305032
• Exponent of the group SL(2, Z_n).at n=42A327569
• Order of the non-isomorphic groups PSL(m,q) [or PSL_m(q)] in increasing order as q runs through the prime powers.at n=22A334884