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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; internal format)
OFFSET

1,1

FORMULA

a(n)=A080514(n), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 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 (mathar(AT)strw.leidenuniv.nl), Sep 20 2006

CROSSREFS

Cf. A080804, A080805, A080806, A080807, A080808, A080810, A080811, A080812.

Sequence in context: A173737 A152663 A113561 * A118949 A053334 A001143

Adjacent sequences:  A080806 A080807 A080808 * A080810 A080811 A080812

KEYWORD

nonn,base

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 22 2003

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 20 2006

Copied a term from A080514. Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 01 2009

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Last modified February 16 06:41 EST 2012. Contains 205862 sequences.