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A047837
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Honaker's triangle problem: form a triangle with base of length n, all entries different, all row sums equal; a(n) gives minimal row sum.
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2
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1, 3, 8, 15, 27, 43, 65, 94, 130, 175, 229, 294, 369, 456, 557, 671, 800, 944, 1105, 1283, 1479, 1695, 1930, 2187, 2465, 2765, 3090, 3439, 3813, 4213, 4641, 5096, 5580, 6095, 6639, 7216, 7825, 8466, 9143, 9855
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Suggested by G. L. Honaker, Jr. (honak3r(AT)gmail.com).
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REFERENCES
| Pickover, C. A., The Zen of Magic Squares, Circles and Stars: An Exhibition Of Surprising Structures Across Dimensions, Princeton University Press, 2002 (pp. 289-292).
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FORMULA
| Appears to obey a 16-term linear recurrence. - R. Stephan, May 06 2004
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EXAMPLE
| Answers for n = 1,2,3,4 are 1 // 3; 1 2 // 8; 2 6; 1 3 4 // 15; 7 8; 4 5 6; 1 2 3 9.
Answer for n = 6 is 43; 21 22; 8 16 19; 5 9 12 17; 3 4 7 14 15; 1 2 6 10 11 13
Answer for n = 7 is 65; 32 33; 20 21 24; 14 15 17 19; 9 10 11 12 23; 5 6 7 13 16 18; 1 2 3 4 8 22 25
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CROSSREFS
| Agrees with A047873 at least for n<365, conjectured to always agree. Cf. A047866.
Sequence in context: A034828 A081276 * A047873 A036419 A054107 A097589
Adjacent sequences: A047834 A047835 A047836 * A047838 A047839 A047840
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KEYWORD
| nonn,nice
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AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)
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