Search: id:A006322
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%I A006322
%S A006322 1,8,31,85,190,371,658,1086,1695,2530,3641,5083,6916,9205,12020,
%T A006322 15436,19533,24396,30115,36785,44506,53383,63526,75050,88075,102726,
%U A006322 119133,137431,157760,180265,205096,232408,262361,295120,330855
%N A006322 4-dimensional analogue of centered polygonal numbers.
%C A006322 Kekule numbers for certain benzenoids. - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Nov 18 2005
%D A006322 Manfred Goebel, Rewriting Techniques and Degree Bounds for Higher Order 
               Symmetric Polynomials, Applicable Algebra in Engineering, Communication 
               and Computing (AAECC), Volume 9, Issue 6 (1999), 559-573.
%D A006322 S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, 
               Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (see 
               p. 166, Table 10.4/I/4).
%F A006322 a(n) = 5*C(n + 2, 4) + C(n + 1, 2) = (C(5*n+4, 4)-1)/5^3.
%F A006322 a(n) = [(n^5-(n-1)^5)-(n^3-(n-1)^3)]/24. - Xavier Acloque, Jan 14 2003
%F A006322 a(n) = Sum [ Sum ( 1 + Sum (5*n) ) ]. - Xavier Acloque, Jan 15 2003
%F A006322 G.f.:(-1-x^2-3*x)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 
               10 2009]
%Y A006322 Cf. A000217, A000330, A050446, A050447.
%Y A006322 Sequence in context: A115293 A115004 A005338 this_sequence A055845 A034556 
               A121097
%Y A006322 Adjacent sequences: A006319 A006320 A006321 this_sequence A006323 A006324 
               A006325
%K A006322 nonn,easy
%O A006322 1,2
%A A006322 Albert Rich (Albert_Rich(AT)msn.com)

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