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A256001 Minimum sum of a nonnegative integer triple that takes n moves to reach a 0 component, where a move picks two components, subtracts the smaller from the larger, and doubles the smaller. 1
0, 3, 6, 11, 15, 23, 27, 45, 81, 105, 195, 329, 597, 885, 1425, 2793, 4725, 8025, 14265, 23205, 41685 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
a(21) > 65532. - Karl Desfontaines, Mar 02 2022
LINKS
IBM's Ponder This, 3 people betting game, May 2015, challenge essentially asks for (a witness for) a(12).
Fabian Frei, Peter Rossmanith, and David Wehner, An Open Pouring Problem, 10th International Conference on Fun with Algorithms (FUN 2021). Schloss Dagstuhl-Leibniz-Zentrum für Informatik, 14:1-9.
John Tromp, C program computing diameter and witness for each sum.
EXAMPLE
The triple (1,2,3) is the triple with minimum sum that has no 0's or equal members and reaches a 0 after the 2 moves (1,2,3) -> (2,2,2) -> (4,0,2). Since the sum of this triple is 6, a(2) = 6.
PROG
See link above for a C program from whose output the terms above were derived.
CROSSREFS
Sequence in context: A324773 A152682 A059753 * A131665 A363610 A132158
KEYWORD
nonn,more
AUTHOR
John Tromp, May 06 2015
EXTENSIONS
a(19)-a(20) from Karl Desfontaines, Mar 02 2022
STATUS
approved

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Last modified May 24 03:56 EDT 2024. Contains 372771 sequences. (Running on oeis4.)