19970

Appears in sequences

• a(n) = n*(5*n^2 - 3)/2.at n=20A063522
• Expansion of phi(-q^3) / f(-q)^2 in powers of q where phi(), f() are Ramanujan theta functions.at n=23A137685
• A bisection of A063522.at n=10A160699
• Number of distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.at n=9A180775
• Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|-|y-z|.at n=30A212577
• Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=2A253835
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=8A253841
• Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253843
• Expansion of Product_{k>=1} 1/(1-x^(k+3))^k.at n=31A263359
• G.f. satisfies: A(x - A(x)^2) = x + 4*A(x)^2.at n=4A277300
• Table read by antidiagonals upward: T(n,k) is the number of ways to move a chess queen from (1,1) to (n,k) in the first quadrant using only up, right, and diagonal up-left moves.at n=32A334017