27540

Appears in sequences

• Product of order of cycles of the permutation created by duality and reversal on the partitions of n.at n=13A036047
• a(n) = 9*binomial(n,4) = 3*n*(n-1)*(n-2)*(n-3)/8.at n=18A060008
• Let G = complete graph on 4 vertices, create the sequence G, L(G), L(L(G)), L(L(L(G))), ... where each graph in this sequence is the line graph of the previous graph; a(n) is number of vertices of the n-th graph in this sequence.at n=6A060202
• Numbers which can be written as b^2*c^2*(b^2+c^2).at n=27A063663
• Ordered m for which m = k^3*a*b*(a^4 - b^4) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity).at n=21A081779
• Shifts 3 places left under Dirichlet convolution.at n=43A144367
• Numbers with prime factorization pqr^2s^4.at n=27A190107
• T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=22A221507
• Number of 2Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=5A221508
• Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering.at n=47A248475
• Numbers k such that k is the average of four consecutive primes k-11, k-1, k+1 and k+11.at n=24A259025
• a(n) = sigma(sigma(p(n))) = sum of the divisors of the sum of the divisors of number of partitions of n.at n=36A280101
• First term of A175304 with a given prime signature.at n=31A282231
• Primitive numbers that are the sum of the squares of two of their distinct divisors.at n=18A338485
• a(n) is the number of large or small squares that are used to tile primitive squares of type 1 whose length of side is A344333(n).at n=17A344334
• a(n) is the number of large or small squares that are used to tile primary squares of type 1 (see A344331) whose side length is A345285(n).at n=22A345286
• Numbers k such that A360522(k) = 2*k.at n=12A360524