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

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Last modified June 13 10:36 EDT 2021. Contains 344988 sequences. (Running on oeis4.)