Search: id:A051682
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%I A051682
%S A051682 0,1,11,30,58,95,141,196,260,333,415,506,606,715,833,960,1096,1241,
%T A051682 1395,1558,1730,1911,2101,2300,2508,2725,2951,3186,3430,3683,3945,
%U A051682 4216,4496,4785,5083,5390,5706,6031,6365,6708,7060,7421,7791,8170
%N A051682 11-gonal (or hendecagonal) numbers.
%C A051682 Write 0,1,2,3,4,... in a triangular spiral, then a(n) is the sequence 
               found by reading the line from 0 in the direction 0,1,... - Floor 
               van Lamoen (fvlamoen(AT)hotmail.com), Jul 21 2001. The spiral begins:
%C A051682 ......15
%C A051682 ....16..14
%C A051682 ..17..3...13
%C A051682 18..4...2...12
%C A051682 ..5...0...1...11
%C A051682 6...7...8...9...10
%C A051682 (1), (4+7), (7+10+13), (10+13+16+19), ... - Jon Perry (perry(AT)globalnet.co.uk), 
               Sep 10 2004
%D A051682 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pp. 189, 194-196.
%D A051682 Murray R. Spiegel, Calculus of Finite Differences and Difference Equations, 
               "Schaum's Outline Series", McGraw-Hill, 1971, pps. 10-20, 79-94.
%H A051682 T. D. Noe, <a href="b051682.txt">Table of n, a(n) for n=0..1000</a>
%H A051682 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%F A051682 n*(9*n-7)/2.
%F A051682 G.f.: x*(1+8*x)/(1-x)^3.
%F A051682 Row sums of triangle A131432 - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Jul 10 2007
%F A051682 a(n)=9*n+a(n-1)-17 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 12 2009]
%e A051682 For n=2, a(2)=9*2+0-17=1; n=3, a(3)=9*3+1-17=11; n=4, a(4)=9*4+11-17=30 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
%p A051682 a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=2*a[n-1]-a[n-2]+9 od: seq(a[n], 
               n=0..43); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 18 
               2008
%t A051682 s=0;lst={s};Do[s+=n++ +1;AppendTo[lst, s], {n, 0, 6!, 9}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]
%Y A051682 First differences of A007586.
%Y A051682 Cf. A001107, A000567.
%Y A051682 Cf. A093644 ((9, 1) Pascal, column m=2). Partial sums of A017173.
%Y A051682 Cf. A004188.
%Y A051682 Cf. A131432.
%Y A051682 Cf. A000217, A001107, A051624.
%Y A051682 Sequence in context: A146751 A162734 A163060 this_sequence A109943 A137411 
               A002755
%Y A051682 Adjacent sequences: A051679 A051680 A051681 this_sequence A051683 A051684 
               A051685
%K A051682 easy,nonn,new
%O A051682 0,3
%A A051682 Barry E. Williams
%E A051682 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 08 1999

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