The sequence:
1, 3, 7, 13, 21, ...
What is the 600th member of the series?
What member, above the first, with fewer than 5 digits, is a perfect cube?
What member is a 5digit palindrome that can also be read as a binary number?
What's the smaller of the two consecutive members that are 1000 apart?
f(x) = sigma(x+2)  1 where x >= 0 and thus f(0) is the first number of the series.
f(599) = 359401
f(18) = 343 = 7^{3}
f(100) = 10101 < a palindromic "binary" number
[f(4) = 21, in binary is also 10101;
f(5) = 31, in binary is the fivedigit palindrome 11111]
(499) = 249501; f(500) = 250501; f(500)  f(499) = 1000
Edited on May 7, 2007, 11:13 pm

Posted by Dej Mar
on 20070507 20:51:19 