Search: id:A069099
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%I A069099
%S A069099 1,8,22,43,71,106,148,197,253,316,386,463,547,638,736,841,953,1072,
%T A069099 1198,1331,1471,1618,1772,1933,2101,2276,2458,2647,2843,3046,3256,3473,
%U A069099 3697,3928,4166,4411,4663,4922,5188,5461,5741,6028,6322,6623,6931,7246
%N A069099 Centered heptagonal numbers (A000566).
%C A069099 Equals the triangular numbers convolved with [ 1, 5, 1, 0, 0, 0,...] 
               [From Gary W. Adamson & Alexander Povolotsky (qntmpkt(AT)yahoo.com), 
               May 29 2009]
%C A069099 Except for the first term, a(n)=7*n+a(n-1), (with a(1)=8) [From Vincenzo 
               Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
%H A069099 T. D. Noe, <a href="b069099.txt">Table of n, a(n) for n=1..1000</a>
%H A069099 E. Weisstein, <a href="http://mathworld.wolfram.com/CenteredPolygonalNumber.html">
               Centered Polygonal Numbers</a>.
%H A069099 <a href="Sindx_Ce.html#CENTRALCUBE">Index entries for sequences related 
               to centered polygonal numbers</a>
%F A069099 a(n) = (7n^2 - 7n + 2)/2
%F A069099 a(n)= 1 + sum_{k=1..n} 7*k. - Xavier Acloque Oct 26 2003
%F A069099 Binomial transform of [1, 7, 7, 0, 0, 0,...]; Narayana transform (A001263) 
               of [1, 7, 0, 0, 0,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Dec 29 2007
%F A069099 a(n)=7*n+a(n-1)-7 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 09 2009]
%e A069099 a(5) = 71 because 71 = (7*5^2 - 7*5 + 2)/2 = (175 - 35 + 2)/2 = 142/2.
%e A069099 For n=2, a(2)=7*2+1-7=8; n=3, a(3)=7*3+8-7=22; n=4, a(4)=7*4+22-7=43 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]
%t A069099 lst={};Do[p=(7*n^2-7*n+2)/2;AppendTo[lst, p], {n, 5!}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
%Y A069099 Cf. A000566 (heptagonal numbers).
%Y A069099 Cf. A001263.
%Y A069099 Sequence in context: A113744 A058508 A134783 this_sequence A145067 A112684 
               A048489
%Y A069099 Adjacent sequences: A069096 A069097 A069098 this_sequence A069100 A069101 
               A069102
%K A069099 easy,nice,nonn
%O A069099 1,2
%A A069099 Terrel Trotter, Jr. (ttrotter(AT)telesal.net), Apr 05 2002
%E A069099 More terms from Larry Reeves (larryr(AT)acm.org), Jun 26 2002

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