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A068617 Starting from a(1)=8, each subsequent term is the minimal square obtained by inserting at least one digit in the previous term. 0
8, 81, 841, 38416, 3841600, 384160000, 38416000000, 3841600000000, 384160000000000, 38416000000000000, 3841600000000000000, 384160000000000000000, 38416000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The growing square sequence for 1 and 6, 2 and 5, 4 and 9 in pairs are the same.
LINKS
FORMULA
For n>=4, a(n) = 38416*100^(n-4).
From Chai Wah Wu, Aug 03 2020: (Start)
a(n) = 100*a(n-1) for n > 4.
G.f.: x*(45684*x^3 + 7259*x^2 + 719*x - 8)/(100*x - 1). (End)
EXAMPLE
a(2)=81 hence a(3) = 841 the smallest square formed from 81.
CROSSREFS
Sequence in context: A098308 A055996 A324016 * A207994 A210127 A007778
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Feb 25 2002
EXTENSIONS
More terms from Sean A. Irvine, Sep 24 2009
Edited and extended by Max Alekseyev, Oct 12 2009
STATUS
approved

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Last modified February 24 14:26 EST 2024. Contains 370305 sequences. (Running on oeis4.)