Number Pyramid

Number Pyramid

A set of numbers obeying a pattern like the following.

$\displaystyle 91 \cdot 37$	$\textstyle =$	$\displaystyle 3367$
$\displaystyle 9901 \cdot 3367$	$\textstyle =$	$\displaystyle 33336667$
$\displaystyle 999001 \cdot 333667$	$\textstyle =$	$\displaystyle 333333666667$
$\displaystyle 99990001 \cdot 33336667$	$\textstyle =$	$\displaystyle 3333333366666667$

$\displaystyle 4^2$	$\textstyle =$	$\displaystyle 16$
$\displaystyle 34^2$	$\textstyle =$	$\displaystyle 1156$
$\displaystyle 334^2$	$\textstyle =$	$\displaystyle 111556$

$\displaystyle 7^2$	$\textstyle =$	$\displaystyle 49$
$\displaystyle 67^2$	$\textstyle =$	$\displaystyle 4489$
$\displaystyle 667^2$	$\textstyle =$	$\displaystyle 444889.$

See also Automorphic Number

References

Heinz, H. ``Miscellaneous Number Patterns.'' http://www.geocities.com/CapeCanaveral/Launchpad/4057/miscnum.htm.

© 1996-9 Eric W. Weisstein
1999-05-25