

A169920


a(n) = n*n in the arithmetic where digits are multiplied in base 10 (as usual) but when digits are to be added they are also multiplied in base 10.


3



0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 111, 144, 199, 306
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OFFSET

0,3


COMMENTS

How should the carry digits be handled? In this version they have been handled by simply adding them in the old way, which is a bit worrisome. For example, in the calculation below, when the column containing 5 and 4 is "added", i.e. multiplied, there is a carry of 2, which here has been added to the 1 to get 3.


LINKS

Table of n, a(n) for n=0..14.


EXAMPLE

a(14) = 14*14 = 306:
....14
....14

....56
...14.

...306



CROSSREFS

The four versions are A000290, A169919, A169920, A169921.
Sequence in context: A080151 A292679 A106545 * A093837 A194148 A162497
Adjacent sequences: A169917 A169918 A169919 * A169921 A169922 A169923


KEYWORD

nonn,base,more


AUTHOR

David Applegate, Marc LeBrun and N. J. A. Sloane, Jul 20 2010


STATUS

approved



