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Search: id:A050685
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| A050685 |
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Number of nonzero palindromes < 10^n and containing at least one digit '0'. |
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+0
2
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| 0, 0, 9, 18, 189, 360, 2799, 5238, 36189, 67140, 435699, 804258, 5021289, 9238320, 56191599, 103144878, 615724389, 1128303900, 6641519499, 12154735098, 70773675489, 129392615880, 746963079399, 1364533542918, 7822667714589
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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G.f.:(-9*x^2*(x+1))/((x-1)*(3*x-1)*(3*x+1)*(10*x^2-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 28 2009]
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EXAMPLE
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Up to 10^4 we find 18 numbers -> 101, 202, ..., 909, 1001, 2002,... and 9009.
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CROSSREFS
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Cf. A050250, A050684.
Sequence in context: A050250 A080453 A002169 this_sequence A133361 A005400 A071587
Adjacent sequences: A050682 A050683 A050684 this_sequence A050686 A050687 A050688
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KEYWORD
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nonn,base
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Aug 15 1999.
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EXTENSIONS
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More terms from Michael Lugo (mlugo(AT)thelabelguy.com), Dec 22 1999
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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