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A056136 Largest positive integer whose harmonic mean with another positive integer is n. 1
1, 2, 6, 6, 15, 12, 28, 20, 45, 30, 66, 42, 91, 56, 120, 72, 153, 90, 190, 110, 231, 132, 276, 156, 325, 182, 378, 210, 435, 240, 496, 272, 561, 306, 630, 342, 703, 380, 780, 420, 861, 462, 946, 506, 1035, 552, 1128, 600, 1225, 650, 1326, 702, 1431, 756, 1540 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

FORMULA

a(n) =1/(2/n-1/floor[n/2+1]) =n*A008619(n)/(2*A008619(n)-n) =(n/2)*A029578(n+2)

CROSSREFS

Cf. A008619 for the smallest integer whose harmonic mean with another integer is n (i.e. harmonic mean of A008619 and a(n) is n).

Sequence in context: A294735 A251548 A316785 * A349288 A098571 A194120

Adjacent sequences: A056133 A056134 A056135 * A056137 A056138 A056139

KEYWORD

nonn

AUTHOR

Henry Bottomley, Jun 13 2000

STATUS

approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)