[seqfan] The inverse Euler transformation of A035938

[Peter Luschny]

The inverse Euler transformation (EULERi) applied to
the data given in Olivier Gerard's A035938 gives

1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1, 1, 0, 1, 0,
1, 0, 1,

Does this pattern continue and thus gives a simple
characterisation of the number of partitions with 1 part
of size 1 and differences between parts at distance 2
are greater than 1?

A035938 is case k=3, i=2 of Gordon's generalization of
the Rogers-Ramanujan identities.

Peter