[go: up one dir, main page]

login
A080811
a(1) = 8, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).
6
8, 81, 68921, 671898241, 67499118303941862584001, 6576499147308118090309591239435044518621593475579845001
OFFSET
1,1
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: 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
KEYWORD
base,more,nonn
AUTHOR
Amarnath Murthy, Mar 22 2003
EXTENSIONS
2 more terms from R. J. Mathar, Sep 20 2006
One more term. Sean A. Irvine, Aug 31 2009
STATUS
approved