A080809 a(1) = 6; thereafter, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).

6, 16, 216, 2085136, 62019685191371643, 82626753081964483505319130781618465733184

Offset

1,1

Links

Table of n, a(n) for n=1..6.

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: A229560 A113561 A347923 * 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