cp's OEIS Frontend

A210942 Triangle read by rows in which row n lists the parts > 1 of the n-th region of the shell model of partitions, with a(1) = 1.

%I A210942 #27 Mar 11 2014 01:34:20
%S A210942 1,2,3,2,4,2,3,5,2,2,4,2,3,6,3,2,2,3,5,2,4,7,3,2,2,2,4,2,3,6,3,2,2,5,
%T A210942 4,8,4,3,2,2,2,2,3,5,2,4,7,3,2,2,3,6,3,5,9,4,3,3,2,2,2,2,2,4,2,3,6,3,
%U A210942 2,2,5,4,8,4,3,2,2,2,2,4,7,3,6,5,10,5
%N A210942 Triangle read by rows in which row n lists the parts > 1 of the n-th region of the shell model of partitions, with a(1) = 1.
%C A210942 For the definition of "region of n" see A206437. See also A186114. Row n lists the largest part and the parts > 1 of the n-th region of the shell model of partitions. Also 1 together with the numbers > 1 of A206437.
%H A210942 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpar02.jpg">Illustration of the seven regions of 5</a>
%H A210942 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpa308.jpg">Illustration of the partitions and regions of n, for n = 1..12</a>
%e A210942 Written as a triangle begins:
%e A210942 1;
%e A210942 2;
%e A210942 3;
%e A210942 2;
%e A210942 4,2;
%e A210942 3;
%e A210942 5,2,
%e A210942 2;
%e A210942 4,2;
%e A210942 3;
%e A210942 6,3,2,2;
%e A210942 3;
%e A210942 5,2;
%e A210942 4;
%e A210942 7,3,2,2;
%Y A210942 Column 1 is A141285. Records give A000027. The n-th record is T(A000041(n),1).
%Y A210942 Cf. A135010, A138121, A182699, A182709, A183152, A186114, A187219, A194436-A194439, A194447-A194448, A196025, A198381, A206437, A210941.
%K A210942 nonn,tabf
%O A210942 1,2
%A A210942 _Omar E. Pol_, Apr 18 2012