A080515 -id:A080515

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Search: a080515 -id:a080515

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A080808

a(1) = 4, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).

+10
6

4, 49, 4096, 3748096, 4932784804069376, 44934932784038660743085694310776796224

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

a(7) > 10^49. A simple heuristic argument suggests that a(7) has > .999 probability of having between 88 and 99 digits. - David Wasserman, Dec 28 2007

LINKS

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

CROSSREFS

Cf. A080514, A080515, A080516, A080807, A080809, A080810, A080811, A080812, A097661.

KEYWORD

base,more,nonn

AUTHOR

Amarnath Murthy, Mar 22 2003

EXTENSIONS

More terms from Ray G. Opao, Sep 20 2004

STATUS

approved

A080514

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

+10
4

1, 16, 216, 2085136, 62019685191371643, 82626753081964483505319130781618465733184

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

EXAMPLE

a(3) = 216 obtained by inserting a 2 in a(2) = 16 to get 6^3.

CROSSREFS

Cf. A080515, A080516.

KEYWORD

base,hard,more,nonn

AUTHOR

Amarnath Murthy, Mar 20 2003

EXTENSIONS

More terms from Robert Gerbicz, Aug 24 2006

STATUS

approved

A080516

a(1) = 5, a(n) = smallest n-th power obtained by inserting digits anywhere in a(n-1).

+10
3

5, 25, 125, 1500625, 7721159067190625, 15177620126188504995068476821390625

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

After the first term, this sequence is the same as A080515. [From Sean A. Irvine, Aug 31 2009]

LINKS

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

CROSSREFS

Cf. A080514, A080515.

KEYWORD

base,hard,more,nonn

AUTHOR

Amarnath Murthy, Mar 20 2003

EXTENSIONS

More terms from Robert Gerbicz, Aug 24 2006

STATUS

approved

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