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A133356
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a(n)=2a(n-1)+16a(n-2) for n>1, a(0)=1, a(1)=1 .
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4
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1, 1, 18, 52, 392, 1616, 9504, 44864, 241792, 1201408, 6271488, 31765504, 163874816, 835997696, 4293992448, 21963948032, 112631775232, 576686718976, 2955481841664, 15137951186944, 77563611840512, 397334442672128
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform of A001026 (powers of 17), with interpolated zeros .
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,16).
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FORMULA
| G.f.: (1-x)/(1-2x-16x^2).
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*17^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 26 2007
a(n)=(1/2)*[1-sqrt(17)]^n+(1/2)*[1+sqrt(17)]^n, n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 10 2008
If p[1]=1, and p[i]=17, (i>1), and if A is Hessenberg matrix of order n defined by: A[i,j]=p[j-i+1], (i<=j), A[i,j]=-1, (i=j+1), and A[i,j]=0 otherwise. Then, for n>=1, a(n)=det A. [From Milan R. Janjic (agnus(AT)blic.net), Apr 29 2010]
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PROG
| (PARI) Vec((1-x)/(1-2*x-16*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 12 2012
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CROSSREFS
| Sequence in context: A069130 A124711 A126372 * A052495 A052902 A059137
Adjacent sequences: A133353 A133354 A133355 * A133357 A133358 A133359
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KEYWORD
| nonn,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 21 2007
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