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A000533
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10^n + 1, n >= 1.
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253
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1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 10000000001, 100000000001, 1000000000001, 10000000000001, 100000000000001, 1000000000000001, 10000000000000001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Also, b^n+1 written in base b, for any base b >= 2.
Also, A083318 written in base 2. - Omar E. Pol, Feb 24 2008, Dec 30 2008
Also, palindromes formed from the reflected decimal expansion of the concatenation of 1 and infinite 0's. [From Omar E. Pol, Dec 14 2008]
a(n) = A178500(n) + 1. [From Reinhard Zumkeller, May 28 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..100
Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
| a(n) = 10^n + 1 - 0^n. - Reinhard Zumkeller, Jun 10 2003
G.f.: (1-10*x^2)/((1-x)*(1-10*x)); a(n)=sum{k=0..n, binomial(n, k)*0^(k(n-k))*10^k}. - Paul Barry, Feb 05 2005
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PROG
| (MAGMA) [10^n + 1 - 0^n: n in [0..30]]; // Vincenzo Librandi, Jul 15 2011
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CROSSREFS
| Cf. A083318.
Cf. A138144, A138145. [From Omar E. Pol, Jun 09 2009]
Cf. A152756. [From Omar E. Pol, Dec 14 2008]
Sequence in context: A056810 A116098 A116129 * A147759 A147757 A089183
Adjacent sequences: A000530 A000531 A000532 * A000534 A000535 A000536
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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