32752
domain: N
Appears in sequences
- Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=15A000295
- Triangular array formed from even elements to right of middle of rows of the triangle of Eulerian numbers.at n=23A014472
- Average theta series of odd unimodular lattices of dimension 24 (multiplied by 691).at n=2A029825
- Distinct elements occurring in triangle of Eulerian numbers (sorted).at n=20A030196
- a(n) = 2^(n+1) - n - 2, or partial sums of main diagonal of array A125127 of k-step Lucas numbers.at n=13A125128
- Expansion of e.g.f. e^(2x)-(1+x)*e^x+x.at n=15A130103
- Number of parts > 1 in the last section of the set of partitions of n.at n=37A138135
- a(n) = A061039(8*n+5).at n=22A144453
- Number of planar n X n X n binary triangular grids with no more than 13 ones in any 5 X 5 X 5 subtriangle.at n=5A153547
- Number of planar n X n X n binary triangular grids with no more than 13 ones in any similarly oriented 5 X 5 X 5 subtriangle.at n=5A153575
- a(n) = 16*(2^n - 1).at n=11A175164
- Number of parts in all partitions of 2n that do not contain 1 as a part.at n=19A182734
- Number of n X 5 binary arrays without the pattern 0 1 diagonally or antidiagonally.at n=22A188820
- Monotonic ordering of nonnegative differences 8^i - 2^j, for 40 >= i >= 0, j >= 0.at n=41A192121
- Monotonic ordering of nonnegative differences 8^i-4^j, for 40>= i>=0, j>=0.at n=22A192168
- Number of lower triangles of a 4 X 4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by one or less.at n=14A195234
- a(n) = Sum_{k=0..13} binomial(n, k).at n=15A219676
- a(n) = n^5 - 2n.at n=8A242436
- Decimal representation of the n-th iteration of the "Rule 129" elementary cellular automaton starting with a single ON (black) cell.at n=9A267441
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 617", based on the 5-celled von Neumann neighborhood.at n=14A289939