A100870 - OEIS

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, 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

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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