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A047985 Define value of a number m (A047988) as follows: start with m and reach 2 by repeatedly either dividing by d where d <= the square root or by adding or subtracting 1. The division steps are free, but adding or subtracting 1 costs 1 point. The "value" of m is the smallest cost to reach 2. Sequence gives numbers with value 2. +0
3
19, 29, 38, 43, 53, 58, 67, 76, 86, 87, 89, 101, 103, 106, 116, 134, 137, 139, 149, 151, 152, 157, 163, 172, 174, 178, 197, 202, 203, 206, 211, 212, 227, 229, 232, 233, 247, 261, 267, 268, 269, 271, 274, 277, 278, 283, 293, 298, 302, 303, 304, 307 (list; graph; listen)
OFFSET

1,1

REFERENCES

Thomas Kantke, Mathematische Unterhaltungen, Spectrum der Wissenschaft, April 1993, pp. 11-13.

EXAMPLE

19 has value 2 since by adding 1 we reach 20 which has value 1; there is no cheaper way to reach 2.

CROSSREFS

Cf. A047836, A047984, A047986-A047988.

Sequence in context: A140566 A135170 A139539 this_sequence A061763 A088474 A087097

Adjacent sequences: A047982 A047983 A047984 this_sequence A047986 A047987 A047988

KEYWORD

nonn

AUTHOR

Thomas Kantke (bytes.more(AT)ibm.net)

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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