T.D. Noe 's nice one (A070897)

[Don Reble]

> A070897 is really a nice & hard sequence.

You might enjoy proving that the even-numbered terms are
perfect squares. (Alas, that might dispel some of the
mystery of the sequence.)

> ... 1, 1, 1, 2, 4, 8, 36, 40, 49, 126, 121,
> 440, 2809, 11395, 32761

I concur. Here are the first 32 terms.

1 1 1 1 2 4 8 36 40 49 126 121 440 2809 11395 32761 132183 881721
3015500 19642624 106493895 249987721 1257922092 4609187881 29262161844
189192811369 1068996265025 7388339422500 67416357342087 465724670229025
1979950199225010 8532284145492496

--
Don Reble       djr at nk.ca