A140281 A Diophantine equation over digits of n. Numbers n such that x_1/r +x_2/r-1 + ... + x_r/1 = k; x_i digits of n; k integer.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 320, 321, 322, 323, 324, 325, 326

Offset

0,3

Links

Table of n, a(n) for n=0..66.

Example

n=321 : 3/3 + 2/2 + 1/1 = 3, 321 belongs to the sequence

Mathematica

Join[{0}, Select[Range[400], IntegerQ[Total[IntegerDigits[#]/Reverse[ Range[ IntegerLength[ #]]]]]&]] (* Harvey P. Dale, May 17 2016 *)

Crossrefs

Cf. A005349, A137923, A138566, A139749, A139750, .

Sequence in context: A111706 A118761 A024657 * A039077 A247803 A362093

Adjacent sequences: A140278 A140279 A140280 * A140282 A140283 A140284

Keyword

easy,nonn,base

Author

Ctibor O. Zizka, May 23 2008

Status

approved