27417

Appears in sequences

• Expansion of e.g.f.: log(1+x)*cos(sin(x)).at n=9A009406
• a(n) = n*(n+1)*(n+2)/2.at n=37A027480
• a(n) = n*(2*n-1)*(2*n+1).at n=19A035328
• Places k where A064608(k) (partial sums of unitary tau) is divisible by k.at n=4A064610
• a(n) = lcm(n, n+1, n+2, n+3)/12.at n=35A067047
• Number of peakless Motzkin paths with no U H^j U, no D H^j D and no D H^jU (j>0), where U=(1,1), D=(1,-1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology).at n=19A098057
• a(n) = n*(n^2 - 1)/2.at n=38A135503
• Denominator of (n+3) / ((n+2) * (n+1) * n).at n=36A168061
• Denominators of ((n+3)/(n+2)/(n+1)/n) (sorted with no repeats).at n=38A168062
• Denominator of Sum_{k=1..n} 1/(k(k+1)(k+2)(k+3)) = Sum_{k=1..n} 1/Pochhammer(k,4).at n=36A230340
• Denominator of c(n) = (n^2+n+2)/((n+1)*(n+2)*(n+3)).at n=36A241269
• Numbers n dividing every cyclic permutation of n^4.at n=32A242740
• From higher-order Bernoulli numbers: denominator of the D-number D2n(2n-1).at n=17A261272
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 413", based on the 5-celled von Neumann neighborhood.at n=33A272009
• Numerator of (n-1)*n*(n+1)/4.at n=38A276670
• a(n) is the least k such that the average number of unitary divisors of {1..k} is >= n.at n=6A328331
• 32*a(n) is the denominator of the squared circumradius of a cyclic quadrilateral with sides n, n+1, n+2, n+3.at n=35A351697
• Number of ASCII letter 'A' bytes that when compressed with zlib generate a new record longest compressed byte stream.at n=42A375585
• Least k > a(n-1) such that k + the sum of all previous terms = 0 (mod (k-2)), with a(1)=1 and a(2)=2.at n=21A390783