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A006758 Number of strictly 2-dimensional one-sided polyominoes with n cells.
(Formerly M4114)
4

%I M4114 #58 Mar 14 2021 20:46:13

%S 0,0,0,1,6,17,59,195,703,2499,9188,33895,126758,476269,1802311,

%T 6849776,26152417,100203193,385221142,1485200847,5741256763,

%U 22245940544,86383382826,336093325057,1309998125639,5114451441105,19998172734785,78306011677181,307022182222505,1205243866707467,4736694001644861,18635412907198669

%N Number of strictly 2-dimensional one-sided polyominoes with n cells.

%C A000988 is the main entry for this sequence.

%C This version counts only polyominoes that are strictly 2-dimensional - it excludes those where all the squares are in a single line. Thus a(n) = A000988(n) - 1. - _John Mason_, Feb 18 2021

%C The value of a(11) in Table 1 (p. 366) of Lunnon (1975) is incorrect, and was corrected here by _N. J. A. Sloane_ in 2011. - _Petros Hadjicostas_, Jan 11 2019

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

%H N. J. A. Sloane, <a href="/A006758/b006758.txt">Table of n, a(n) for n = 0..45</a> [a(0)=0 inserted by _Georg Fischer_, Jun 25 2020]

%H W. F. Lunnon, <a href="http://dx.doi.org/10.1093/comjnl/18.4.366">Counting multidimensional polyominoes</a>, Computer Journal 18 (4) (1975) 366-367.

%Y A000988 (= a(n) + 1) is another version. A column of A195738.

%K nonn

%O 0,5

%A _N. J. A. Sloane_

%E Edited by _N. J. A. Sloane_, Sep 23 2011

%E a(0)=0 inserted by _Sean A. Irvine_, Jun 24 2020

%E Name clarified by _John Mason_, Feb 18 2021

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)