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A203750 Square root of v(2n)/v(2n-1), where v=A203748. 3
1, 14, 741, 87024, 18068505, 5845458528, 2718866959893, 1719570636306432, 1419543579377755377, 1482454643117692608000, 1910657530214126188243749, 2978927846824451394372304896, 5526241720077994999033052180169 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A203748.
LINKS
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
EXAMPLE
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
MATHEMATICA
(See A203748.)
CROSSREFS
Sequence in context: A277299 A233506 A103426 * A232158 A208254 A210817
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 05 2012
STATUS
approved

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Last modified June 18 23:43 EDT 2024. Contains 373489 sequences. (Running on oeis4.)