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The s-inners or non-s-aints, numbers generated like the Aronson series from the letters, specifically the s, in a generating sentence, "S ain't the second, third, fourth, fifth . . . letter of this sentence.".
4

%I #10 Nov 03 2024 09:35:32

%S 1,9,31,36,98,107,156,164,210,221,266,312,358,365,407,417,461,468,510,

%T 520,548,556,564,566,571,577,587,598,608,613,618,623,630,641,651,661,

%U 671,673,680,686,698,711,723,730,735,742,749,762,792,800,846,857,905

%N The s-inners or non-s-aints, numbers generated like the Aronson series from the letters, specifically the s, in a generating sentence, "S ain't the second, third, fourth, fifth . . . letter of this sentence.".

%C The discovery of the s-inners was inspired by the mention of the Aronson series in Douglas R. Hofstadter's Metamathematical Themas.

%H Michael Joseph Halm, <a href="http://michaelhalm.tripod.com/andre_joyce_s_coined_words.htm">neologisms</a>

%F In blocks of 10 letters: saintthese condthirdf ourthfifth sixthseven theighthte nthelevent htwelfthth irteenthfo urteenthfi fteenthsix teenthseve nteentheig hteenthnin ...

%e a(1)= 1 because the first letter in the generating sentence that is s is the first one, a.

%Y Cf. A005224.

%Y Complement of A072886.

%K nonn,word

%O 1,2

%A _Michael Joseph Halm_, Jul 29 2002

%E a(15) onward corrected by _Sean A. Irvine_, Nov 02 2024