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A031982 1(01)^(2n+1). 1
101, 1010101, 10101010101, 101010101010101, 1010101010101010101, 10101010101010101010101, 101010101010101010101010101, 1010101010101010101010101010101, 10101010101010101010101010101010101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

C. Ashbacher, Problem 514, The Pentagon, Vol. 57, No. 1, Fall 1997, p. 36

M. Le, On Smarandache Pierce Chain, Smarandache Notions Journal, Vol. 10, No. 1-2-3, 1999, 154-155.

Florentin Smarandache, Properties of the numbers, ASU Special Collections, 1973.

LINKS

Table of n, a(n) for n=0..8.

Eric Weisstein's World of Mathematics, Smarandache Sequences

Index entries for linear recurrences with constant coefficients, signature (10001,-10000).

FORMULA

a(n) = 101 (10^(4n) - 1)/(10^4 - 1).

MATHEMATICA

101(10^(4Range[10]) - 1)/9999 (* Alonso del Arte, May 20 2017 *)

LinearRecurrence[{10001, -10000}, {101, 1010101}, 20] (* Harvey P. Dale, Aug 18 2019 *)

CROSSREFS

Sequence in context: A068659 A252491 A015078 * A015041 A317957 A266244

Adjacent sequences:  A031979 A031980 A031981 * A031983 A031984 A031985

KEYWORD

nonn,easy

AUTHOR

J. Castillo (arp(AT)cia-g.com)

EXTENSIONS

More terms from James A. Sellers

STATUS

approved

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Last modified August 1 16:12 EDT 2021. Contains 346393 sequences. (Running on oeis4.)