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A094225 Number of distinct n-row absolute difference tables that consist entirely of the first A000217(n) natural numbers. 1
1, 2, 4, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Mirror image triangle pairs are consider the same.
REFERENCES
M. Gardner, "Pool-Ball Triangles", pp. 119-120 and 128, Penrose Tiles to Trapdoor Ciphers, Freeman NY 1989.
M. Gardner, Puzzles From Other Worlds, Problem 8, pp. 143; 173, Random House NY 1984.
J. D. E. Konhauser et al., " Difference triangles", Problem 145, pp. 43; 184-6, Which Way Did The Bicycle Go, MAA 1996.
P. Tougne, " Jeux Mathematiques", Aug. 1982 issue of Pour La Science (French edition of 'Scientific American'), Paris.
LINKS
D. Greenwell, Pool-ball Triangles.
EXAMPLE
Illustrating the case of the unique example of n=5 with numbers 1 through 15:
6..14.15..3..13
..8..1..12.10
...7..11..2
....4...9
......5
For n=2 we have 1,3;2 and 2,3;1 so a(2) = 2. - Michael Somos, Apr 07 2012
CROSSREFS
Sequence in context: A099211 A261761 A300269 * A358641 A057277 A258712
KEYWORD
nonn,fini
AUTHOR
Lekraj Beedassy, May 28 2004
STATUS
approved

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Last modified March 19 06:05 EDT 2024. Contains 370952 sequences. (Running on oeis4.)