Search: id:A063488
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%I A063488
%S A063488 1,6,20,49,99,176,286,435,629,874,1176,1541,1975,2484,3074,3751,
%T A063488 4521,5390,6364,7449,8651,9976,11430,13019,14749,16626,18656,20845,
%U A063488 23199,25724,28426,31311,34385,37654,41124,44801,48691,52800,57134
%N A063488 (2*n-1)*(n^2-n+2)/2.
%C A063488 Sum of two consecutive terms of A006003(n) = n(n^2+1)/2. a(n) = A006003(n-1) 
               + A006003(n). - Alexander Adamchuk (alex(AT)kolmogorov.com), Jun 
               03 2006
%C A063488 If a 2-set Y and a 3-set Z are disjoint subsets of an n-set X then a(n-4) 
               is the number of 5-subsets of X intersecting both Y and Z. - Milan 
               R. Janjic (agnus(AT)blic.net), Sep 08 2007
%D A063488 T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. 
               (10).
%H A063488 Harry J. Smith, <a href="b063488.txt">Table of n, a(n) for n=1,...,1000</
               a>
%H A063488 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative 
               Functions</a>
%F A063488 G.f.: (1+x)*(1+x+x^2)/(1-x)^4 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Aug 30 2009]
%o A063488 (PARI) { for (n=1, 1000, write("b063488.txt", n, " ", (2*n - 1)*(n^2 
               - n + 2)/2) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Aug 23 2009]
%Y A063488 1/12*t*(2*n^3-3*n^2+n)+2*n-1 for t = 2, 4, 6, ... gives A049480, A005894, 
               A063488, A001845, A063489, A005898, A063490, A057813, A063491, A005902, 
               A063492, A005917, A063493, A063494, A063495, A063496.
%Y A063488 Cf. A006003.
%Y A063488 Sequence in context: A011928 A055455 A050768 this_sequence A002415 A052515 
               A067117
%Y A063488 Adjacent sequences: A063485 A063486 A063487 this_sequence A063489 A063490 
               A063491
%K A063488 nonn
%O A063488 1,2
%A A063488 N. J. A. Sloane (njas(AT)research.att.com), Aug 01 2001

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