A031982 1(01)^(2n+1).

101, 1010101, 10101010101, 101010101010101, 1010101010101010101, 10101010101010101010101, 101010101010101010101010101, 1010101010101010101010101010101, 10101010101010101010101010101010101

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