A098177 - OEIS

A098177

Start with the first n, which reads: "Prolong the sequence with n numbers having their parity opposed to n". Then read and obey the second n, then the third n, etc. This sequence is the slowest increasing one with such rule.

%I #2 Mar 31 2012 13:46:50

%S 1,2,3,5,8,10,12,14,16,18,20,22,23,25,27,29,31,33,35,37,39,41,43,45,

%T 47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,

%U 93,95,97,99,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129

%N Start with the first n, which reads: "Prolong the sequence with n numbers having their parity opposed to n". Then read and obey the second n, then the third n, etc. This sequence is the slowest increasing one with such rule.

%e The first term, "1", means: "Add 1 even number to the sequence" - thus we write "2". We must now read and obey this "2": "Add 2 odd numbers to the sequence" - thus we write 3 and 5. We will then write 3 even numbers, followed by 5 even numbers (altogether 8 even numbers, thus "8" to "22"), etc.

%K base,easy,nonn

%O 1,2

%A _Eric Angelini_, Oct 25 2004