A244592 Numbers n such that n equals the partial or complete sum of the decimal digits of 1/n, up to the point at which the digits recur or terminate.

3, 7, 8, 13, 14, 34, 43, 49, 51, 76, 83, 92, 94, 98, 103, 109, 113, 127, 139, 141, 169, 177, 179, 181, 194, 218, 229, 283, 323, 338, 367, 394, 397, 401, 437, 524, 526, 537, 579, 587, 626, 659, 661, 673, 674, 687, 701, 719, 724, 743, 767, 769, 802, 823, 838

Offset

1,1

Comments

The digits summed are those before the decimal expansion recurs or terminates. Otherwise reciprocals that supply a recurrent 1, like 1/9 = 0.111... or 1/99 = 0.010101..., would always produce a sum equal to n from sufficient terms of the reciprocal.

Links

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

Example

1/3 = 0.3... and 3 = 0 + 3.
1/7 = 0.142857... and 7 = 1 + 4 + 2.
1/8 = 0.125 and 8 = 1 + 2 + 5.
1/13 = 0.0769230... and 13 = 7 + 6.
1/14 = 0.0714285... and 14 = 7 + 1 + 4 + 2.
1/34 = 0.02941176470588235... and 34 = 2 + 9 + 4 + 1 + 1 + 7 + 6 + 4.

Crossrefs

Cf. A048997.

Sequence in context: A215034 A050014 A132017 * A010342 A108873 A002312

Adjacent sequences: A244589 A244590 A244591 * A244593 A244594 A244595

Keyword

nonn,base

Author

Anthony Sand, Jul 01 2014

Status

approved