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A047984 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 1. +0
6
3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 54, 55, 57, 59, 61, 62, 63, 65, 66, 68, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 88, 90, 91, 92, 93, 94, 95, 97 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

EXAMPLE

7 has value 1 since we add 1 to get 8, then divide by 2 twice.

CROSSREFS

Cf. A047836, A047985-A047988.

Sequence in context: A080943 A052294 A116883 this_sequence A125236 A137624 A099467

Adjacent sequences: A047981 A047982 A047983 this_sequence A047985 A047986 A047987

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 December 5 23:38 EST 2009. Contains 170428 sequences.


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