A203770 Vandermonde sequence using x^4 + y^4 applied to (1,1,2,2,...,floor(n/2)).
1, 2, 578, 5345344, 338179153563904, 3466035612421233748051968, 1923520756594004458835713813690433667072, 546551001653798242379097661463711497556444294267384365056
Offset: 1
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