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 A100178 Structured hexagonal diamond numbers (vertex structure 5). 10
 1, 8, 29, 72, 145, 256, 413, 624, 897, 1240, 1661, 2168, 2769, 3472, 4285, 5216, 6273, 7464, 8797, 10280, 11921, 13728, 15709, 17872, 20225, 22776, 25533, 28504, 31697, 35120, 38781, 42688, 46849, 51272, 55965, 60936, 66193, 71744, 77597, 83760, 90241, 97048, 104189 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row 1 of the convolution array A213838.  [Clark Kimberling, Jul 05 2012] LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 FORMULA a(n) = (1/6)*(8*n^3-6*n^2+4*n). G.f.: x*(1+4*x+3*x^2)/(1-4*x+6*x^2-4*x^3+x^4). - Colin Barker, Jan 04 2012 PROG (MAGMA) [(1/6)*(8*n^3-6*n^2+4*n): n in [1..40]]; // Vincenzo Librandi, Aug 03 2011 CROSSREFS Cf. A000578 = alternate vertex; A000447 = structured diamonds; A100145 for more on structured numbers. Sequence in context: A244244 A037157 A288115 * A106113 A299260 A290312 Adjacent sequences:  A100175 A100176 A100177 * A100179 A100180 A100181 KEYWORD nonn,easy AUTHOR James A. Record (james.record(AT)gmail.com), Nov 07 2004 STATUS approved

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Last modified December 6 09:25 EST 2019. Contains 329791 sequences. (Running on oeis4.)