A203750 Square root of v(2n)/v(2n-1), where v=A203748.

1, 14, 741, 87024, 18068505, 5845458528, 2718866959893, 1719570636306432, 1419543579377755377, 1482454643117692608000, 1910657530214126188243749, 2978927846824451394372304896, 5526241720077994999033052180169

Offset: 1

Author

Clark Kimberling, Jan 05 2012

Keywords

• nonn

Comments

See A203748.

Examples

			Triangle ( f(n)/(f(k)*f(n-k)) ), 0 <= k <= n, begins
  1;
  1,     1;
  1,    14,        1;
  1,   741,      741,      1;
  1, 87024,  4606056,  87024,  1;
... - _Peter Bala_, Sep 21 2013
		

Crossrefs

Cf. A203748, A203774.

Programs

Mathematica

(See A203748.)

Formula

Define a sequence f(n) by means of the double product f(n) = |Product_{1 <= a, b <= n} (a - b*w)|, where w = exp(2*Pi*i/3) is a primitive cube root of unity. So f(n) is a sort of 2-dimensional analog of n!. Then a(n) = f(n)/(f(1)*f(n-1)) is the first column of the triangle ( f(n)/(f(k)*f(n-k)) ) 0<=k<=n, an analog of Pascal's triangle. - Peter Bala, Sep 21 2013