23072

Appears in sequences

• G.f.: A(x) = exp( Sum_{n>=1} sigma(n^2)*x^n/n ), a power series in x with integer coefficients.at n=15A156303
• Number of 5 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=19A188556
• E.g.f.: Sum_{n>=0} 2^(-n*(n+1)/2!) * Product_{k=0..n} tan(2^k*x).at n=5A194456
• Triangle read by rows: row n (n>=1) enumerates marked mesh patterns of type R_n^(2,0,2,0).at n=13A211321
• Leading diagonal of triangle in A211321.at n=8A212198
• Principal diagonal of the convolution array A213828.at n=15A213829
• Number of (n+1) X (1+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal.at n=15A232508
• Number of n X 3 0..2 arrays with no element equal to a strict majority 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=3A279575
• T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority 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=18A279580
• Number of 4Xn 0..2 arrays with no element equal to a strict majority 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=2A279583
• The PDO_t(n) function (Number of tagged parts over all the partitions of n with designated summands in which all parts are odd).at n=32A293422
• Array read by antidiagonals: T(n,k) is the number of permutations of k indistinguishable copies of 1..n with exactly 2 local maxima.at n=22A334773
• Triangle read by rows: T(n,k) is the number of open meanders with 2n crossings and k exterior top arches, 0 <= k <= n.at n=62A380369