A080810 a(1) = 7, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).

7, 576, 17576, 1475789056, 1420778345789277056227207, 149247077443060991182553045537892735703095362592472033442634721

Offset: 1

Author

Amarnath Murthy, Mar 22 2003

Keywords

• base
• more
• nonn

Examples

			24^2=576. 26^3=17576. 196^4=1475789056. 67687^5=1420778345789277056227207.
		

Crossrefs

Cf. A080804, A080805, A080806, A080807, A080808, A080809, A080811, A080812.

Programs

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: 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, Sep 20 2006

Extensions

Corrected and extended by R. J. Mathar, Sep 20 2006

One more term. Sean A. Irvine, Sep 01 2009