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Search: id:A072420
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| A072420 |
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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. |
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+0
2
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| 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, 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, 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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M. J. Halm, TOSCOD, Mpossibilities 67, p. 2 (Sept. 1998)
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LINKS
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M. J. Halm, neologisms
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FORMULA
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By applying the proper combination of the two alternative operations one mininum number of operations can be determined.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A006577.
Sequence in context: A106147 A073321 A055620 this_sequence A023530 A066602 A073816
Adjacent sequences: A072417 A072418 A072419 this_sequence A072421 A072422 A072423
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KEYWORD
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nonn,base
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AUTHOR
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Michael Joseph Halm (hierogamous(AT)lycos.com), Jul 31 2002
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