%I A004466
%S A004466 0,1,12,43,104,205,356,567,848,1209,1660,2211,2872,3653,
%T A004466 4564,5615,6816,8177,9708,11419,13320,15421,17732,20263,
%U A004466 23024,26025,29276,32787,36568,40629,44980,49631,54592
%N A004466 n*(5*n^2-2)/3.
%C A004466 3-dimensional analogue of centered polygonal numbers.
%C A004466 Also as a(n)=(1/6)*(10*n^3-4*n), n>0: structured pentagonal anti-diamond 
               numbers (vertex structure 11) (Cf. A051673 = alternate vertex A100188 
               = structured anti-diamonds; A100145 for more on structured numbers). 
               - James A. Record (james.record(AT)gmail.com), Nov. 7, 2004.
%C A004466 a(n+1)-10*a(n)=(n+1)*(5*(n+1)^2-2)/3 - (10n(n+1)(n+2)/6)=n. The unit 
               digits are 0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9... - Eric Desbiaux 
               (moongerms(AT)wanadoo.fr), Aug 18 2008
%D A004466 T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. 
               (11).
%Y A004466 1/12*t*(n^3-n)+n for t = 2, 4, 6, ... gives A004006, A006527, A006003, 
               A005900, A004068, A000578, A004126, A000447, A004188, A004466, A004467, 
               A007588, A062025, A063521, A063522, A063523.
%Y A004466 Sequence in context: A125221 A082829 A003357 this_sequence A062749 A004636 
               A136279
%Y A004466 Adjacent sequences: A004463 A004464 A004465 this_sequence A004467 A004468 
               A004469
%K A004466 nonn
%O A004466 0,3
%A A004466 Albert D. Rich (Albert_Rich(AT)msn.com).