Search: id:A005892
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%I A005892 M4833
%S A005892 1,12,37,76,129,196,277,372,481,604,741,892,1057,1236,1429,1636,1857,
%T A005892 2092,2341,2604,2881,3172,3477,3796,4129,4476,4837,5212,5601,6004,
%U A005892 6421,6852,7297,7756,8229,8716,9217,9732,10261,10804,11361,11932
%N A005892 Truncated square numbers: 7*n^2 + 4*n + 1.
%D A005892 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005892 L. Hogben, Choice and Chance by Cardpack and Chessboard. Vol. 1, Chanticleer 
               Press, NY, 1950, p. 36.
%D A005892 B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral 
               clusters, Inorgan. Chem. 24 (1985), 4545-4558.
%H A005892 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 A005892 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 A005892 a(n)=14*n+a(n-1)-17 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 15 2009]
%e A005892 For n02, a(2)=14*2+1-17=12; n=3, a(3)=14*3+12-17=37; n=4, a(4)=14*4+37-17=76 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 15 2009]
%p A005892 A005892:=-(1+9*z+4*z**2)/(z-1)**3; [S. Plouffe in his 1992 dissertation.]
%Y A005892 Cf. A135704.
%Y A005892 Sequence in context: A045174 A044089 A044470 this_sequence A041276 A057457 
               A041278
%Y A005892 Adjacent sequences: A005889 A005890 A005891 this_sequence A005893 A005894 
               A005895
%K A005892 nonn,easy,new
%O A005892 0,2
%A A005892 N. J. A. Sloane (njas(AT)research.att.com).
%E A005892 More terms from Frank Ellermann, Jan 18 2002

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