Powers of 10
The Pisano periods when n is a power of 10 are 60, 300, 1500, 15000, 150000, ... (sequence A096363 in OEIS). Dov Jarden proved that for n greater than 2 the periodicity mod 10n is 15·10n−1.
Read more about this topic: Pisano Period
Famous quotes containing the words powers of and/or powers:
“The shadow of a mighty Negro past flits through the tale of Ethiopia the shadowy and of the Egypt the Sphinx. Throughout history, the powers of single blacks flash here and there like falling stars, and die sometimes before the world has rightly gauged their brightness.”
—W.E.B. (William Edward Burghardt)
“Dear to us are those who love us, the swift moments we spend with them are a compensation for a great deal of misery; they enlarge our life;Mbut dearer are those who reject us as unworthy, for they add another life: they build a heaven before us, whereof we had not dreamed, and thereby supply to us new powers out of the recesses of the spirit, and urge us to new and unattempted performances.”
—Ralph Waldo Emerson (1803–1882)