Take any positive integer of two digits or more, reverse the digits, and add to the original number. This is the operation of the reverse-then-add sequence. Now repeat the procedure with the sum so obtained. This procedure quickly produces palindromic numbers for most integers. For example, starting with the number 5280 produces the sequence 5280, 6105, 11121, 23232. The end results of applying the algorithm to 1, 2, 3, ... are 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 33, 44, 55, 66, 77, 88, 99, 121, ... (Sloane's A033865). The value for 89 is especially large, being 8813200023188.
The first few numbers not known to produce palindromes are 196, 295, 394, 493, 592, 689, 691, 788, 790, 879, 887, ... (Sloane's A023108). The numbers obtained by iteratively applying the algorithm to 196, the smallest such number, are 196, 887, 1675, 7436, 13783, ... (Sloane's A006960), and no palindromic member of this sequence is known. The special number 196 therefore lends itself to the name of the reverse-then-add algorithm. In 1990, John Walker computed iterations of the algorithm on 196 and obtained a number having digits. This was extended in 1995 by Tim Irvin, who obtained a number having digits. The rec.puzzles archive states that a -digit nonpalindromic number is obtained after iterations.
posted on January 26, 2004 01:50:12 PM new
The Friendly Hills Middle School in Mendota Heights, MN is part of ISD 197. ( By the way according to the announcement board the entire cast of "Annie" should report for rehearsal tonight except the student playing Rooster. )
posted on January 26, 2004 09:42:46 PM new
Section 202 Supportive Housing for the Elderly Program. ... Section
202 is administered by HUD's Office of Multifamily Housing.
posted on January 30, 2004 05:51:44 PM new
209-CALIF'S PROPOSTION 209-BIG CONTROVERSY IN THE MID 90'S
What would Prop 209 do?
Because it is loosely written, no one knows how the courts will interpret much of Proposition 209. There are a few areas, however, where we do know what it is likely to do.
According to the non-partisan California Legislative Analyst, Prop 209 would "...eliminate most affirmative action programs for women and minorities run by state or local governments..." This means Prop 209 will:
End affirmative action outreach programs for women and minorities in government jobs and contracts;
Prohibit courts from ordering affirmative action remedies even in cases of proven race and sex discrimination;
Imperil women's centers and rape crisis centers on college campuses;
Scrap math and science programs for girls;
Eliminate magnet schools designed to desegregate school districts
posted on January 31, 2004 01:34:56 PM new
Two Hundred and Thirteen Valentines
by Barbara Cohen
ISBN: 0-606-12555-8 / 0606125558
Title: Two Hundred and Thirteen Valentines
Author: Barbara Cohen
Publisher: Turtleback Books
posted on January 31, 2004 07:41:44 PM new
Theodore Roosevelt (1858–1919). Through the Brazilian Wilderness. 1914.
Page 214
It was a misty, overcast morning, and the spiders in the webs that hung from the telegraph-wire were just going to their day homes. These were in and under the big white china insulators on the telegraph-poles. Hundreds of spiders were already climbing up into these. When, two or three hours later, we returned, the sun was out, and not a spider was to be seen.
******
Censorship, like charity, should begin at home; but unlike charity, it should end there --Clare Booth Luce
posted on January 31, 2004 08:00:34 PM new
215 reasons why they won't be abiding by their "Your bid on on E bay is a Legally binding contract". Because it's worthless and holds no legal value. That's why e bay invented the NPB process. hahahahaha....
MY Powersellers logo.
Annnnnnd,,,,,,The beat goes on...yeah the beat goes on,,,,,
[ edited by mcjane on Jan 26, 2004 10:21 PM ]
