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A140207 Triangle read by rows in which row n (n>=0) gives the first n terms of A000041.

%I A140207 #35 Jul 26 2023 03:16:28
%S A140207 1,1,1,1,1,2,1,1,2,3,1,1,2,3,5,1,1,2,3,5,7,1,1,2,3,5,7,11,1,1,2,3,5,7,
%T A140207 11,15,1,1,2,3,5,7,11,15,22,1,1,2,3,5,7,11,15,22,30,1,1,2,3,5,7,11,15,
%U A140207 22,30,42,1,1,2,3,5,7,11,15,22,30,42,56,1,1,2,3,5,7,11,15,22,30,42,56,77
%N A140207 Triangle read by rows in which row n (n>=0) gives the first n terms of A000041.
%C A140207 Number of partitions of n into distinct parts with maximal size, see A000009. - _Reinhard Zumkeller_, Jun 13 2009
%C A140207 Equals A092080 when first column is removed.  _Georg Fischer_, Jul 26 2023
%H A140207 Robert Price, <a href="/A140207/b140207.txt">Table of n, a(n) for n = 0..1325</a> (first 50 rows)
%H A140207 Francesca Aicardi, <a href="http://arxiv.org/abs/0806.1273">Matricial formulas for partitions</a>, arXiv:0806.1273 [math.NT], 2008. [Note that there is an error in the triangle given there.]
%e A140207 Triangle begins:
%e A140207 1
%e A140207 1,1
%e A140207 1,1,2
%e A140207 1,1,2,3
%e A140207 1,1,2,3,5
%e A140207 1,1,2,3,5,7
%e A140207 1,1,2,3,5,7,11
%e A140207 1,1,2,3,5,7,11,15
%e A140207 1,1,2,3,5,7,11,15,22
%e A140207 1,1,2,3,5,7,11,15,22,30
%e A140207 1,1,2,3,5,7,11,15,22,30,42
%e A140207 1,1,2,3,5,7,11,15,22,30,42,56
%e A140207 1,1,2,3,5,7,11,15,22,30,42,56,77
%e A140207 1,1,2,3,5,7,11,15,22,30,42,56,77,101
%t A140207 Table[PartitionsP[k], {n, 0, 12}, {k, 0, n}] // Flatten (* _Jean-François Alcover_, Aug 07 2018 *)
%Y A140207 Mirror of triangle A027293. - _Omar E. Pol_, Feb 07 2012
%Y A140207 Cf. A000041, A092080.
%K A140207 nonn,tabl
%O A140207 0,6
%A A140207 _N. J. A. Sloane_, Jun 10 2008, based on a suggestion from _Gary W. Adamson_