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A056183 Sum of a(n) terms of 1/k^(6/7) first exceeds n. 0
1, 2, 4, 8, 16, 31, 56, 96, 158, 253, 393, 594, 878, 1271, 1806, 2523, 3472, 4711, 6312, 8359, 10949, 14199, 18243, 23237, 29360, 36816, 45841, 56698, 69689, 85152, 103467, 125060, 150406, 180034, 214529, 254542, 300788, 354056, 415215, 485213 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..39.

EXAMPLE

For example, a(4) = 16 since Sum_{k=1..16} 1/k^(6/7) = 4.014698427... > 4, whereas Sum_{k=1..15} 1/k^(6/7) = 3.921823784... < 4.

MATHEMATICA

s = 0; k = 1; Do[ While[ s <= n, s = s + N[ 1/k^(7/8), 24 ]; k++ ]; Print[ k - 1 ], {n, 1, 40} ]

CROSSREFS

Cf. A019529 and A002387.

Sequence in context: A054517 A054016 A051039 * A000127 A133552 A174439

Adjacent sequences:  A056180 A056181 A056182 * A056184 A056185 A056186

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Aug 01 2000

STATUS

approved

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Last modified December 11 21:15 EST 2017. Contains 295919 sequences.