%I A100175
%S A100175 1,8,30,76,155,276,448,680,981,1360,1826,2388,3055,3836,4740,5776,6953,
%T A100175 8280,9766,11420,13251,15268,17480,19896,22525,25376,28458,31780,35351,
%U A100175 39180,43276,47648
%N A100175 Structured triakis tetrahedral numbers (vertex structure 4).
%C A100175 Equals binomial transform of [1, 7, 15, 9, 0, 0, 0,...] where (1, 7, 
               15, 9) = row 3 of triangle A038763. - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Jul 19 2008
%C A100175 Equals convolution square of (1, 4, 7, 10, 13, 16, 19,...). [From Gary 
               W. Adamson (qntmpkt(AT)yahoo.com), Jul 28 2009]
%F A100175 a(n)=(1/6)*(9*n^3-9*n^2+6*n)
%Y A100175 Cf. A000578 = alternate vertex; A100145 for more on structured numbers.
%Y A100175 Cf. A038763.
%Y A100175 Sequence in context: A004639 A131769 A055832 this_sequence A063489 A002417 
               A126858
%Y A100175 Adjacent sequences: A100172 A100173 A100174 this_sequence A100176 A100177 
               A100178
%K A100175 easy,nonn
%O A100175 1,2
%A A100175 James A. Record (james.record(AT)gmail.com). Nov 07, 2004.