A377334 - OEIS

A377334

Number of n-celled polycubes with full symmetry and the rotation point of the symmetries in the center of a cell (that may or may not be part of the polycube).

1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 1, 1, 0, 0, 4, 5, 4, 1, 0, 0, 5, 7, 4, 3, 0, 0, 8, 10, 6, 3, 0, 0, 12, 14, 8, 5, 0, 0, 22, 21, 21, 7, 0, 0, 32, 32, 20, 12, 2, 0, 50, 48, 36, 16, 1, 1

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OFFSET

1,19

LINKS

Table of n, a(n) for n=1..83.

Index entries for sequences related to polyominoes.

FORMULA

a(n) = A376971(n) if n is not divisible by 8, otherwise a(n) = A376971(n)-A377335(n/8).

Conjecture: For n >= 62, a(n) > a(n-1) if and only if n is a multiple of 6.

CROSSREFS

Cf. A351127, A376971, A377335.

Sequence in context: A103633 A350847 A026821 * A376971 A039964 A369453

Adjacent sequences: A377331 A377332 A377333 * A377335 A377336 A377337

KEYWORD

nonn

AUTHOR

Pontus von Brömssen, Oct 25 2024

STATUS

approved