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A100870 Triangle read by rows: T(n,k) = minimal sum of denominators needed to write k/n (for 1 <= k <= n with gcd(k,n) = 1) as a sum of unit fractions. 2
2, 3, 8, 4, 2, 6, 5, 18, 12, 17, 6, 3, 2, 8, 5, 7, 32, 39, 16, 23, 36, 8, 4, 12, 2, 10, 6, 14, 9, 24, 3, 12, 20, 8, 17, 23, 10, 5, 15, 18, 2, 12, 7, 17, 20, 11, 72, 48, 36, 47, 24, 35, 95, 72, 60, 12, 6, 4, 3, 10, 2, 7, 8, 6, 5, 12, 13, 98, 71, 82, 95, 101, 28, 41, 47, 58, 71, 96, 14, 7 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..80.

Index entries for sequences related to Egyptian fractions

EXAMPLE

T(5,2) = 18 because the minimal sum of unit fractions is 2/5 = 1/3 + 1/15 and 3+15=18.

CROSSREFS

Cf. A100869, A100871.

Sequence in context: A293273 A349003 A079555 * A210688 A328428 A195794

Adjacent sequences:  A100867 A100868 A100869 * A100871 A100872 A100873

KEYWORD

nonn,tabl

AUTHOR

Franklin T. Adams-Watters, Nov 20 2004

STATUS

approved

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Last modified December 2 13:56 EST 2021. Contains 349445 sequences. (Running on oeis4.)