Using David Wilson's idea and Jud McCranie's data, I made some 216x246 gif-files (attached) which illustrate the observed phenomenon. ulampic0.gif: numbers from 1 to 53136; ulampic1.gif: numbers from 1000001 to 1053136; ulampic2.gif: numbers from 2000001 to 2053136; ulampic3.gif: numbers from 3000001 to 3053136; ulampic4.gif: numbers from 4000001 to 4053136; Klaus ------------------------------------------------------------------- David Wilson wrote: [......]
It appears that both you and Brockhaus have confirmed the bunching with period about 21.6. Do you think this is a constant? If so, what would cause this regular bunching? If you plotted the integers 216 per row and colored the Ulams black and the others white, I bet you would get a pretty set of stripes. [......]