36144

Appears in sequences

• Expansion of e.g.f.: sinh(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+72/5!*x^5...at n=9A013315
• a(n) = Sum_{k=1..n} ceiling(k^4/n).at n=19A014816
• Theta series of 17-dimensional lattice Q'_17(6)^{+6}.at n=17A015165
• a(n) is the concatenation of n and 4n.at n=35A019552
• Number of ways to arrange 3 nonattacking knights on the lower triangle of an n X n board.at n=10A194487
• Number of equivalence classes of S_n under transformations of positionally and numerically adjacent elements of the form abc <--> acb where a<b<c.at n=8A212580
• T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=36A252574
• Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=8A252575
• Number of 7 X n 0..1 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=8A281211
• Number T(n,k) of permutations of [n] having exactly k consecutive triples j, j+1, j-1; triangle T(n,k), n>=0, 0<=k<=floor(n/3), read by rows.at n=15A343535
• Number of grains of sand required to be added to one cell at the origin in an initially empty and infinite 3D cubic grid for the 3D sandpile model such that the distance from the origin of the furthest nonempty cell along the axes is n.at n=14A351783
• a(n) = (n - 1) * Sum_{k=2..n} A000010(k).at n=48A385682