Threads, Seed and Kin Numbers
The term thread, coined by Jason Doucette, refers to the sequence of numbers that may or may not lead to a palindrome through the reverse and add process. Any given seed and its associated kin numbers will converge on the same thread. The thread does not include the original seed or kin number, but only the numbers that are common to both, after they converge.
Seed numbers are a subset of Lychrel numbers, that is the smallest number of each non palindrome producing thread. A seed number may be a palindrome itself. The first three examples are shown in bold in the list above.
Kin numbers are a subset of Lychrel numbers, that include all numbers of a thread, except the seed, or any number that will converge on a given thread after a single iteration. This term was introduced by Koji Yamashita in 1997.
Read more about this topic: Lychrel Number
Famous quotes containing the words seed, kin and/or numbers:
“A candle in the thighs
Warms youth and seed and burns the seeds of age;”
—Dylan Thomas (1914–1953)
“For little boys are rancorous
When robbed of any myth,
And spiteful and cantankerous
To all their kin and kith.
But little girls can draw conclusions
And profit from their lost illusions.”
—Phyllis McGinley (1905–1978)
“I had but three chairs in my house; one for solitude, two for friendship; three for society. When visitors came in larger and unexpected numbers there was but the third chair for them all, but they generally economized the room by standing up.”
—Henry David Thoreau (1817–1862)