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%I #9 Jan 13 2014 09:13:53
%S 4,4,3,5,4,3,5,4,3,4,5,4,4,4,3,7,2,2,4,4,4,6,4,3,6,5,2,7,5,3,4,4,5,5,
%T 3,3,5,5,3,5,4,3,5,5,2,6,5,6,6,4,1,6,3,2,6,5,3,6,3,3,7,5,3,6,5,5,4,4,
%U 3,5,2,2,5,5,3,4,5,4,5,4,2,7,7,6,6,4,4,5,4,3,4,5,3,6,3,3,5,4,4,4
%N This sequence lists the "toscodicity" of the integers, the minimum number of steps needed to transform the integer into 153 (which happens to be the sum of the cube of its digits, the sum of the first 17 integers and fishily "happens" to be the number of fish mentioned in John 21:10) by the TOSCOD (triple or sum cubes of digits) operator.
%C The TOSCOD operator is similar to the HOTPO (halve or triple-plus-one) operator used to generate the Collatz sequence. The 51st term is one of the rare "ones". There is only one more at the 135th term before reaching the "zero" point at the 153rd term.
%D M. J. Halm, TOSCOD, Mpossibilities 67, p. 2 (Sept. 1998)
%H M. J. Halm, <a href="http://michaelhalm.tripod.com/andre_joyce_s_coined_words.htm">neologisms</a>
%F By applying the proper combination of the two alternative operations one minimum number of operations can be determined.
%e f(1) = 4 because tripled 1 yields 3, which cubed yields 27, whose digits cubed yield 8 + 343 = 351, whose digits cubed yield 27 + 125 + 1 = 153, in four steps.
%Y Cf. A006577.
%K nonn,base
%O 1,1
%A _Michael Joseph Halm_, Jul 31 2002
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