A085601

[Don Reble]

seqfans, njas:

> One of these, A085601, appears to me to be incorrect. The sequence
> clearly consists exclusively of numbers of the form m^2 + (m+1)^2. The
> values now present have values of m that, except for the early 5
> (m=1), are successive even integers.

> Following the construction, it appears to me that in fact, except for
> the initial 1 (m=0), the values of m should be the powers of 2.

    I agree with Franklin. Here's how I'd edit it.

%I A085601
%S A085601 5,13,41,145,545,2113,8321,33025,131585,525313,2099201,8392705,
%T A085601 33562625,134234113,536903681,2147549185,8590065665,34360000513,
%U A085601 137439477761,549756862465,2199025352705,8796097216513,35184380477441
%N A085601 a(n) = 2 * (4^n + 2^n) + 1
%C A085601 1. Begin with a square tile.
%C A085601 2. Place square tiles on each edge to form a diamond shape.
%C A085601 3. Count the tiles: a(0) = 5.
%C A085601 4. Add tiles to fill the enclosing square.
%C A085601 5. Go to step 2.
%Y A085601 Cf. A028403, A046142, A056640, A064412.
%K A085601 nonn,easy
%O A085601 0,1
%A A085601 Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jul 07 2003
%E A085601 Edited by Franklin T. Adams-Watters (franktaw at netscape.net), Don Reble (djr(AT)nk.ca), Aug 15 2006

-- 
Don Reble  djr at nk.ca


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