A369434 - OEIS

A369434

a(n) = [x^(n^2)] Product_{k=1..n} (x^(k^2) + 1 + 1/x^(k^2)).

1, 1, 1, 1, 1, 2, 5, 13, 31, 75, 155, 344, 808, 2019, 5136, 13422, 34720, 91055, 238447, 630753, 1678780, 4502862, 12135507, 32873145, 89324119, 243745113, 667153916, 1832553339, 5048767393, 13950607375, 38649239592, 107345311219, 298820158401, 833680894927

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..33.

MATHEMATICA

Table[Coefficient[Product[(x^(k^2) + 1 + 1/x^(k^2)), {k, 1, n}], x, n^2], {n, 0, 33}]

CROSSREFS

Cf. A000290, A316706, A350249, A368243.

Sequence in context: A068739 A063636 A076501 * A349276 A307569 A200772

Adjacent sequences: A369431 A369432 A369433 * A369435 A369436 A369437

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 23 2024

STATUS

approved