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A037729
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Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,0,3,1.
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0
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2, 20, 203, 2031, 20312, 203120, 2031203, 20312031, 203120312, 2031203120, 20312031203, 203120312031, 2031203120312, 20312031203120, 203120312031203, 2031203120312031
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (10,0,0,1,-10).
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FORMULA
| a(n)=10*a(n-1)+(1/4)*{3*(n mod 4)-2*[(n+1) mod 4]+3*[(n+2) mod 4]}, with a(0)=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 30 2009]
G.f. x*(2+3*x^2+x^3) / ( (x-1)*(10*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Nov 21 2011
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CROSSREFS
| Sequence in context: A037519 A037722 A109107 * A037624 A077327 A173499
Adjacent sequences: A037726 A037727 A037728 * A037730 A037731 A037732
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KEYWORD
| nonn,base
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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