A203763
Vandermonde sequence using x^2 - xy + y^2 applied to (1,1,2,2,...,[n/2]).
Original entry on oeis.org
1, 1, 9, 324, 777924, 16810159716, 69136555917409344, 4549499535875623543259136, 115306876482136485813839025883201536, 73061199694724861313901918528002630365482598400
Offset: 1
-
f[j_] := Floor[(j + 1)/2]; z = 16;
u := Product[f[j]^2 - f[j] f[k] + f[k]^2, {j, 1, k - 1}]
v[n_] := Product[u, {k, 2, n}]
Table[v[n], {n, 1, z}] (* A203763 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203764 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, 20}] (* A203765 *)
Original entry on oeis.org
1, 9, 36, 2401, 21609, 4112784, 65804544, 25344958401, 633623960025, 413815190632704, 14897346862777344, 14823103693846716801, 726332080998489123249, 1025131531800200888254464, 65608418035212856848285696
Offset: 1
-
f[j_] := Floor[(j + 1)/2]; z = 16;
u := Product[f[j]^2 - f[j] f[k] + f[k]^2, {j, 1, k - 1}]
v[n_] := Product[u, {k, 2, n}]
Table[v[n], {n, 1, z}] (* A203763 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203764 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, 20}] (* A203765 *)
Showing 1-2 of 2 results.
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