%I A100177
%S A100177 1,4,18,64,175,396,784,1408,2349,3700,5566,8064,11323,15484,20700,27136,
%T A100177 34969,44388,55594,68800,84231,102124,122728,146304,173125,203476,
%U A100177 237654,275968,318739,366300,418996,477184
%N A100177 Structured meta-prism numbers, the n-th number from a structured n-gonal 
               prism number sequence.
%F A100177 a(n)=(1/6)*(3*n^4-9*n^3+12*n^2)
%e A100177 There are no 1- or 2-gonal prisms, so 1 and (2n) are used as the first 
               and second terms since all the sequences begin as such.
%Y A100177 Cf. A002411, A000578, A050509, A006597, A100176, A100177 - structured 
               prisms; A006484 for other meta structured numbers; and A100145 for 
               more on structured numbers.
%Y A100177 Sequence in context: A073373 A057414 A165910 this_sequence A083321 A022728 
               A115112
%Y A100177 Adjacent sequences: A100174 A100175 A100176 this_sequence A100178 A100179 
               A100180
%K A100177 easy,nonn
%O A100177 1,2
%A A100177 James A. Record (james.record(AT)gmail.com). Nov 07, 2004.