A080808
a(1) = 4, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).
Original entry on oeis.org
4, 49, 4096, 3748096, 4932784804069376, 44934932784038660743085694310776796224
Offset: 1
A080811
a(1) = 8, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).
Original entry on oeis.org
8, 81, 68921, 671898241, 67499118303941862584001, 6576499147308118090309591239435044518621593475579845001
Offset: 1
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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: A080811 := 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 :=8 ; for n from 2 to 15 do an := A080811(an,n) ; end ; # R. J. Mathar, Sep 20 2006
A080810
a(1) = 7, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).
Original entry on oeis.org
7, 576, 17576, 1475789056, 1420778345789277056227207, 149247077443060991182553045537892735703095362592472033442634721
Offset: 1
24^2=576. 26^3=17576. 196^4=1475789056. 67687^5=1420778345789277056227207.
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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, Sep 20 2006
A080807
a(1) = 3, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).
Original entry on oeis.org
3, 36, 32768, 20632736881, 2096638274713626813358181376, 2095266319949834829710838437415365780027681350359080101817236461769
Offset: 1
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