27144

Appears in sequences

• Number of strict n-node animals on cubic lattice.at n=5A007193
• Number of simple juggling patterns of n balls.at n=7A007871
• a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=29A011931
• Numbers k such that sigma(k) - usigma(k) is a square and sets a new record for such squares.at n=27A063840
• a(n) is the largest integer whose cube has n digits and first digit 1, except that a(2)=2.at n=13A083378
• Indices k such that A020507(k)=Phi[k](-8) is prime, where Phi is a cyclotomic polynomial.at n=35A138922
• Indices k such that A019326(k)=Phi[k](8) is prime, where Phi is a cyclotomic polynomial.at n=35A138938
• Totally multiplicative sequence with a(p) = 2*(4p+1) = 8p+2 for prime p.at n=41A167336
• Period of the decimal representation of 1/Fibonacci(n).at n=36A175561
• E.g.f. (1+x)^(x+x^2).at n=9A191353
• Number of -n..n arrays x(0..3) of 4 elements with sum zero and with zeroth through 3rd differences all nonzero.at n=17A200040
• Number of n-bead necklaces labeled with numbers 1..7 not allowing reversal, with no adjacent beads differing by more than 1.at n=11A208776
• Periods associated with A217611.at n=37A217646
• Numbers m such that k*m = Sum_{j|m, j < m} sigma(j), where k >= 1 is an integer.at n=6A224488
• Numbers n such that triangular(n) + triangular(2*n) is a triangular number.at n=4A225785
• G.f. A(x) satisfies: prime(n-1) iteration of A(x) yields a zero coefficient of x^n for n>2.at n=6A227886
• Number of steps between two valleys at height 0 in the infinite Dyck path in which the k-th ascending line segment has A141285(k) steps and the k-th descending line segment has A194446(k) steps, k >= 1.at n=30A233968
• Sum of the asymmetry degrees of all compositions of n with parts in {1,4}.at n=30A276063
• Number of n X 3 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=3A281321
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=18A281326