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A069505
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a(1) = 1; a(n) = smallest palindromic number of the form k*a(n-1) + 1 with k > 1.
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6
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1, 3, 7, 22, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 111111111111, 1111111111111, 11111111111111, 111111111111111, 1111111111111111, 11111111111111111, 111111111111111111
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..19.
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FORMULA
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a(n) = (10^(n-2) - 1)/9 for n > 4.
G.f.: (110*x^5 - 61*x^4 - 25*x^3 - 16*x^2 - 8*x + 1)/(10*x-1)/(x-1). - Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008
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MAPLE
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A069505:=seriestolist(taylor((1+110*x^5-61*x^4-25*x^3-16*x^2-8*x)/(10*x-1)/(x-1), x, 20)); # Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008
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CROSSREFS
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Cf. A069506, A069507, A069508, A069509, A069510.
Sequence in context: A252784 A082271 A229438 * A355075 A173878 A225264
Adjacent sequences: A069502 A069503 A069504 * A069506 A069507 A069508
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy, Mar 30 2002
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EXTENSIONS
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More terms from Patrick De Geest, Jun 11 2003
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STATUS
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approved
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