%I A002594 M5421 N2354
%S A002594 1,244,3369,20176,79225,240276,611569,1370944,2790801,5266900,
%T A002594 9351001,15787344,25552969,39901876,60413025,89042176,128177569,180699444
%N A002594 Sum of 5th powers of odd numbers.
%D A002594 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002594 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002594 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%D A002594 F. E. Croxton and D. J. Cowden, Applied General Statistics. 2nd ed., 
               Prentice-Hall, Englewood Cliffs, NJ, 1955, p. 742.
%H A002594 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A002594 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%F A002594 n^2/3 * (16n^4 - 20n^2 + 7).
%p A002594 A002594:=-(z+1)*(z**4+236*z**3+1446*z**2+236*z+1)/(z-1)**7; [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%Y A002594 Cf. A016757.
%Y A002594 Sequence in context: A031786 A135409 A081864 this_sequence A085440 A146552 
               A164656
%Y A002594 Adjacent sequences: A002591 A002592 A002593 this_sequence A002595 A002596 
               A002597
%K A002594 nonn
%O A002594 1,2
%A A002594 N. J. A. Sloane (njas(AT)research.att.com).