|
| |
|
|
A094028
|
|
Expansion of 1/((1-x)(1-100x)).
|
|
10
| |
|
|
1, 101, 10101, 1010101, 101010101, 10101010101, 1010101010101, 101010101010101, 10101010101010101, 1010101010101010101, 101010101010101010101, 10101010101010101010101
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Regarded as binary numbers and converted to decimal, these become 1,5,21,85,... the partial sums of 4^n (see A002450).
Partial sums of 100^n.
Odd terms of A056830. - Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), May 31 2005
|
|
|
REFERENCES
| J. V. Leyendekkers and A.G. Shannon, Modular Rings and the Integer 3, Notes on Number Theory & Discrete Mathematics, 17 (2011), 47-51; http://www.nntdm.net/papers/nntdm-17/NNTDM-17-2-47-51.pdf
Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 60.
|
|
|
FORMULA
| a(n) = 1+100*(100^n-1)/99. - N. J. A. Sloane (njas(AT)research.att.com), Apr 20 2008
a(n)=100^(n+1)/99-1/99; a(n)=A094027(2n+1).
|
|
|
EXAMPLE
| Contribution from Omar E. Pol (info(AT)polprimos.com), Dec 13 2008: (Start)
=======================
n ....... a(n)
0 ........ 1
1 ....... 101
2 ...... 10101
3 ..... 1010101
4 .... 101010101
5 ... 10101010101
======================
(End)
|
|
|
CROSSREFS
| Bisection of A147759. [From Omar E. Pol (info(AT)polprimos.com), Nov 13 2008]
Sequence in context: A152756 A153500 A164367 * A144564 A065074 A113628
Adjacent sequences: A094025 A094026 A094027 * A094029 A094030 A094031
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 22 2004
|
| |
|
|
