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 A174225 Array: row n consists of the positive integers x for which there are exactly n positive integers y such that x+y divides x*y. 0
 2, 3, 4, 5, 9, 8, 7, 25, 27, 6, 11, 49, 125, 10, 32, 13, 121, 343, 14, 243, 64, 17, 169, 1331, 15, 3125, 729, 12, 19, 289, 2197, 16, 16807, 15625, 18, 256, 23, 361, 4913, 21, 161051, 117649, 20, 6561, 512, 29, 529, 6859, 22 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Many properties of the array follow easily from Comments at A063647: 1. Every positive integer except 1 occurs, exactly once. 2. Row 1 consists of the primes. 3. Row k includes p^k for all primes p, for k>=1. 4. Row 4 includes all products of two distinct primes. 5. Column 1 consists of even numbers. LINKS EXAMPLE Corner of the array: 2....3....5....7....11....13.... 4....9....25...49...121...169... 8....27...125..343..1331..2197.. 6....10...14...15...16....21.... 6 is in row 4 because there are 4 numbers y for which 6+y divides 6*y; they are 3,6,12,30. CROSSREFS Cf. A063647. Sequence in context: A335910 A266531 A284311 * A182945 A052270 A265335 Adjacent sequences:  A174222 A174223 A174224 * A174226 A174227 A174228 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Mar 12 2010 STATUS approved

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Last modified April 17 06:46 EDT 2021. Contains 343059 sequences. (Running on oeis4.)