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 A080809 a(1) = 6; thereafter, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1). 5
 6, 16, 216, 2085136, 62019685191371643, 82626753081964483505319130781618465733184 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n)=A080514(n), n>1. - R. J. Mathar, Sep 18 2008 MAPLE 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: A080809 := 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 :=6 ; for n from 2 to 15 do an := A080809(an, n) ; end ; # R. J. Mathar, Sep 20 2006 CROSSREFS Cf. A080804, A080805, A080806, A080807, A080808, A080810, A080811, A080812. Sequence in context: A152663 A229560 A113561 * A223098 A290382 A118949 Adjacent sequences:  A080806 A080807 A080808 * A080810 A080811 A080812 KEYWORD nonn,base AUTHOR Amarnath Murthy, Mar 22 2003 EXTENSIONS More terms from R. J. Mathar, Sep 20 2006 Copied a term from A080514. -  Sean A. Irvine, Sep 01 2009 STATUS approved

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Last modified January 28 00:32 EST 2020. Contains 331313 sequences. (Running on oeis4.)