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 A093412 Triangle read by rows: a(n, k) is the numerator of (n + (n-1) + ... + (n-k+1))/(1 + 2 + ... + k), 0 < k <= n. 8
 1, 2, 1, 3, 5, 1, 4, 7, 3, 1, 5, 3, 2, 7, 1, 6, 11, 5, 9, 4, 1, 7, 13, 3, 11, 5, 9, 1, 8, 5, 7, 13, 2, 11, 5, 1, 9, 17, 4, 3, 7, 13, 3, 11, 1, 10, 19, 9, 17, 8, 15, 7, 13, 6, 1, 11, 7, 5, 19, 3, 17, 2, 5, 7, 13, 1, 12, 23, 11, 21, 10, 19, 9, 17, 8, 15, 7, 1, 13, 25, 6, 23, 11, 3, 5, 19, 9, 17, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A093415 gives the corresponding denominators. LINKS FORMULA a(n, k) = (2n+1-k)/gcd(2n+1-k, k+1). EXAMPLE Triangle a(n,k) (with rows n >= 1 and columns k >= 1) begins as follows:   1;   2,  1;   3,  5, 1;   4,  7, 3,  1;   5,  3, 2,  7, 1;   6, 11, 5,  9, 4,  1;   7, 13, 3, 11, 5,  9, 1;   8,  5, 7, 13, 2, 11, 5,  1;   9, 17, 4,  3, 7, 13, 3, 11, 1; ... - Petros Hadjicostas, Oct 20 2019 CROSSREFS Cf. A093413, A093414, A093415. Sequence in context: A062105 A210563 A236311 * A119355 A076110 A117584 Adjacent sequences:  A093409 A093410 A093411 * A093413 A093414 A093415 KEYWORD easy,nonn,tabl,frac AUTHOR Amarnath Murthy, Mar 30 2004 EXTENSIONS Edited and extended by David Wasserman, Feb 01 2006 STATUS approved

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Last modified September 18 09:22 EDT 2020. Contains 337166 sequences. (Running on oeis4.)