2016

Properties

2016 is

1. Hexagonal number
2. Triangle of Lah number.
3. Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j).
4. Triangular array: the fusion of (x+1)^n and (x+2)^n
5. Triangle of coefficients in expansion of (1+2*x)^n.
6. number with an even number of prime factors (counted with multiplicity) that cannot be factored into distinct semiprimes.
7. Multiples of 16 containing a 16 in their decimal representation.
8. Number of invertible 2 X 2 matrices mod n.
9. Triangle read by rows: T(n,k) gives the number of set partitions of {1,...,n} with maximum block length k.
10. Generalized 28-gonal (or icosioctagonal) number: m*(13*m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ...
11. Number of zero-one matrices with n ones and no zero rows or columns.
12. Sum of every 4th entry of row n in Pascal's triangle, starting at "n choose 0".