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Search: id:A007622
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| A007622 |
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Consider Leibniz's harmonic triangle (A003506), and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.
(Formerly M4096)
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+0
11
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| 6, 12, 20, 30, 42, 56, 60, 72, 90, 105, 110, 132, 140, 156, 168, 182, 210, 240, 252, 272, 280, 306, 342, 360, 380, 420, 462, 495, 504, 506, 552, 600, 630, 650, 660, 702, 756, 812, 840, 858, 870, 930, 992, 1056, 1092, 1122, 1190, 1260, 1320, 1332
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 83, Problem 25.
D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 35.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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MATHEMATICA
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L[n_, 1] := 1/n; L[n_, m_] := L[n, m] = L[n - 1, m - 1] - L[n, m - 1]; Take[ Union[ Flatten[ Table[ 1/L[n, m], {n, 3, 150}, {m, 2, Floor[n/2 + .5]}]]], 65]
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CROSSREFS
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Adjacent sequences: A007619 A007620 A007621 this_sequence A007623 A007624 A007625
Sequence in context: A083209 A080714 A116368 this_sequence A056930 A064971 A130199
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KEYWORD
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nonn
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AUTHOR
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njas, Robert G. Wilson v (rgwv(AT)rgwv.com), Mira Bernstein (mira(AT)math.berkeley.edu)
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Jul 25 2000. Rechecked Jun 27 2003.
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