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%I A026820
%S A026820 1,1,2,1,2,3,1,3,4,5,1,3,5,6,7,1,4,7,9,10,11,1,4,8,11,13,14,15,
%T A026820 1,5,10,15,18,20,21,22,1,5,12,18,23,26,28,29,30,1,6,14,23,30,
%U A026820 35,38,40,41,42,1,6,16,27,37,44,49,52,54,55,56,1,7,19,34,47,58
%N A026820 Euler's table: triangular array T read by rows, where T(n,k) = number 
               of partitions in which every part is <=k for 1<=k<=n. Also number 
               of partitions of n into at most k parts.
%C A026820 T(T(n,n),n) = A134737(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Nov 07 2007
%D A026820 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 831.
%D A026820 G. Chrystal, Algebra, Vol. II, p. 558.
%D A026820 L. Euler, Introductio in Analysin Infinitorum, Book I, chapter XVI.
%D A026820 D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section XIV.2, 
               p. 493.
%H A026820 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A026820 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PartitionFunctionq.html">Link to a section of The World of Mathematics.</
               a>
%e A026820 1; 1,2; 1,2,3; 1,3,4,5; 1,3,5,6,7; ...
%Y A026820 Partial sums of rows of A008284.
%Y A026820 Sequence in context: A036838 A066010 A109974 this_sequence A091438 A011794 
               A073300
%Y A026820 Adjacent sequences: A026817 A026818 A026819 this_sequence A026821 A026822 
               A026823
%K A026820 nonn,tabl,easy,nice
%O A026820 1,3
%A A026820 Clark Kimberling (ck6(AT)evansville.edu)

    
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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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