(from the NMBRTHRY list) This seems to be in our ambit. --Rich ----- Forwarded message from pevnev@juno.com ----- Date: Thu, 10 Sep 2009 12:54:47 -0400 From: "Alexander R. Povolotsky" <pevnev@juno.com> Subject: Question re two infinite nested radicals expressions To: NMBRTHRY@listserv.nodak.edu Hi, Any suggestions on evaluating these particular two (see below) infinite nested radicals expressions ? sqrt(1+sqrt(3+sqrt(6+sqrt(10+sqrt(15+sqrt(21+sqrt(28+ sqrt(36+sqrt(45+sqrt(55+sqrt(66+sqrt(78+sqrt(91+sqrt(.....)))))))))))))) and (1+(7+(20+(44+(...)^(1/3).)^(1/3).)^(1/3).)^(1/3).)^(1/3) Note that for both examples the sum of two adjacent values give the perfect power (particularly square and cube) Thanks, Best Regards, Alexander R. Povolotsky ----- End forwarded message -----