[seqfan] Re: phi-antipalindormic numbers

Richard Mathar mathar at strw.leidenuniv.nl
Sun Sep 5 22:33:55 CEST 2010


First we have to correct A104626. My proposal is:

%I A104626
%S A104626 4,5,6,8,19,48,124,323,844,2208,5779,15128,39604,103683,271444,710648,
%T A104626 1860499,4870848,12752044,33385283,87403804,228826128,599074579,
%U A104626 1568397608,4106118244,10749957123,28143753124,73681302248
%N A104626 Numbers having three 1's in their base-phi representation.
%H A104626 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PhiNumberSystem.html">Phi Number System</a>
%H A104626 Anonymous, <a href="http://en.wikipedia.org/wiki/Golden_ratio_base">Golden ratio base</a>, Wikipedia
%F A104626 {n: A055778(n) = 3}. [R. J. Mathar, Sep 05 2010]
%Y A104626 Cf. A005248, A104627, A104628.
%Y A104626 Cf. A065034 [Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 29 2005]
%Y A104626 Adjacent sequences: A104623 A104624 A104625 this_sequence A104627 A104628 A104629
%Y A104626 Sequence in context: A163318 A129362 A083579 this_sequence A065034 A006580 A061814
%K A104626 nonn
%O A104626 1,1
%A A104626 Eric Weisstein (eric(AT)weisstein.com), Mar 17, 2005
%E A104626 Terms 5 and 6 added [Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), May 25 2010]

(I've only checked that the sequence is correct up to <= 39604)

Richard Mathar





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