A006759 Number of one-sided strictly 3-dimensional polyominoes with n cells. (Formerly M3038)

0, 0, 0, 3, 17, 131, 915, 6553, 47026, 341888, 2505449, 18534827, 138224058, 1038594326, 7856087894, 59782042225, 457359506070, 3515816578512, 27143401299351, 210372490707568

Offset

1,4

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..20.

W. F. Lunnon, Counting multidimensional polyominoes, Computer Journal 18 (4) (1975) 366-367.

Mathematica

A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {_, _}][[All, 2]]];
A000105 = A@000105;
A000162 = A@000162;
a[n_] := A000162[[n]] - A000105[[n + 1]];
a /@ Range[16] (* Jean-François Alcover, Jan 16 2020 *)

Crossrefs

A column of A195738.

Sequence in context: A328402 A247788 A355598 * A073513 A074524 A212280

Adjacent sequences: A006756 A006757 A006758 * A006760 A006761 A006762

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

a(11) corrected and a(13)-a(16) from A000162-A000105 by Jean-François Alcover, Jan 16 2020

Name clarified and a(17)-a(20) from A000162-A000105 by John Mason, Dec 26 2023

Status

approved