login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A037729 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,0,3,1. 0
2, 20, 203, 2031, 20312, 203120, 2031203, 20312031, 203120312, 2031203120, 20312031203, 203120312031, 2031203120312, 20312031203120, 203120312031203, 2031203120312031 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..16.

Index entries for linear recurrences with constant coefficients, signature (10,0,0,1,-10).

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. - Paolo P. Lava, 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

PROG

(PARI) Vec(x*(2+3*x^2+x^3)/((x-1)*(10*x-1)*(1+x)*(x^2+1)) + O(x^25)) \\ Jinyuan Wang, Apr 14 2020

CROSSREFS

Sequence in context: A037519 A037722 A109107 * A037624 A077327 A173499

Adjacent sequences:  A037726 A037727 A037728 * A037730 A037731 A037732

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 26 02:27 EDT 2021. Contains 347664 sequences. (Running on oeis4.)