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Search: id:A080810
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| A080810 |
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a(1) = 7, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1). |
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+0
6
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| 7, 576, 17576, 1475789056, 1420778345789277056227207, 149247077443060991182553045537892735703095362592472033442634721
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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24^2=576. 26^3=17576. 196^4=1475789056. 67687^5=1420778345789277056227207.
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MAPLE
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buffedStr := proc(n, candid) local f ; if length(n) = 0 then RETURN(true) ; fi ; f := SearchText(substring(n, 1), candid) ; if f = 0 then RETURN(false) ; else if buffedStr(substring(n, 2..-1), substring(candid, f+1..-1)) = true then RETURN(true) ; else RETURN(false) ; fi ; fi ; end: A080810 := proc(preva, n) local i, tst ; i := 1 ; while true do tst := i^n ; if buffedStr(convert(preva, string), convert(tst, string)) = true then RETURN(tst) ; fi ; i := i+1 ; od: end: an :=7 ; for n from 2 to 15 do an := A080810(an, n) ; end ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 20 2006
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CROSSREFS
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Cf. A080804, A080805, A080806, A080807, A080808, A080809, A080811, A080812.
Sequence in context: A093169 A159029 A068616 this_sequence A153405 A087772 A047942
Adjacent sequences: A080807 A080808 A080809 this_sequence A080811 A080812 A080813
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KEYWORD
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base,more,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 22 2003
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 20 2006
One more term. Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 01 2009
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