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A005224 T is the first, fourth, eleventh, ... letter in this sentence, not counting spaces or commas (Aronson's sequence).
(Formerly M3406)
34

%I M3406

%S 1,4,11,16,24,29,33,35,39,45,47,51,56,58,62,64,69,73,78,80,84,89,94,

%T 99,104,111,116,122,126,131,136,142,147,158,164,169,174,181,183,193,

%U 199,205,208,214,220,226,231,237,243,249,254,270,288,303,307,319,323,341

%N T is the first, fourth, eleventh, ... letter in this sentence, not counting spaces or commas (Aronson's sequence).

%C a(10^9) = 11281384554. - _Hans Havermann_, Apr 21 2017

%D A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

%D James Gleick, Faster, Vintage Books, NY, 2000 (see pp. 259-261).

%D N. J. A. Sloane, Seven Staggering Sequences, in Homage to a Pied Puzzler, E. Pegg Jr., A. H. Schoen and T. Rodgers (editors), A. K. Peters, Wellesley, MA, 2009, pp. 93-110.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H B. Cloitre, N. J. A. Sloane and M. J. Vandermast, <a href="http://www.emis.de/journals/JIS/VOL6/Cloitre/cloitre2.html">Numerical analogues of Aronson's sequence</a>, J. Integer Seqs., Vol. 6 (2003), #03.2.2. arXiv:<a href="http://arXiv.org/abs/math.NT/0305308">math.NT/0305308</a>

%H Hans Havermann, <a href="http://gladhoboexpress.blogspot.ca/2017/04/aronsons-sequence.html">Aronson's Sequence</a>

%H N. J. A. Sloane, <a href="http://neilsloane.com/doc/g4g7.pdf">Seven Staggering Sequences</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AronsonsSequence.html">Aronson's Sequence</a>

%e The sentence begins

%e 1234567890 1234567890 1234567890 1234567890 1234567890

%e Tisthefirs tfourthele venthsixte enthtwenty fourthtwen

%e tyninththi rtythirdth irtyfiftht hirtyninth fortyfifth

%e fortyseven thfiftyfir stfiftysix thfiftyeig hthsixtyse

%e condsixtyf ourthsixty ninthseven tythirdsev entyeighth

%e eightiethe ightyfourt heightynin thninetyfo urthninety

%e ninthonehu ndredfourt honehundre deleventho nehundreds

%e ixteenthon ehundredtw entysecond onehundred twentysixt

%e honehundre dthirtyfir stonehundr edthirtysi xthonehund

%e redfortyse cond...

%Y Cf. A049525, A055508, A081023, A081024, A079000, A097395, A284744.

%K nonn,word,nice

%O 1,2

%A _N. J. A. Sloane_.

%E Corrected and extended by Larry Reeves (larryr(AT)acm.org), Oct 31 2000

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Last modified July 24 03:48 EDT 2017. Contains 289717 sequences.