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Search: id:A094028
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| A094028 |
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Expansion of 1/((1-x)(1-100x)). |
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+0
9
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| 1, 101, 10101, 1010101, 101010101, 10101010101, 1010101010101, 101010101010101, 10101010101010101, 1010101010101010101, 101010101010101010101, 10101010101010101010101
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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As binary numbers, these are 1,5,21,85,... the partial sums of 4^n (see A002450); binary of A001045(2n+2). Partial sums of 100^n.
Odd terms of A056830. - Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), May 31 2005
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REFERENCES
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Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 60.
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FORMULA
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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).
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EXAMPLE
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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)
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CROSSREFS
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Bisection of A147759. [From Omar E. Pol (info(AT)polprimos.com), Nov 13 2008]
Sequence in context: A152756 A153500 A164367 this_sequence A144564 A065074 A113628
Adjacent sequences: A094025 A094026 A094027 this_sequence A094029 A094030 A094031
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 22 2004
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