A376259 Numbers k such that R(k)/k is of the form (m + 1)/m, where R(k) is the digital reversal of k.

45, 495, 4356, 4545, 4995, 19602, 29403, 39204, 43956, 45045, 49005, 49995, 68607, 197802, 296703, 395604, 439956, 450045, 454545, 494505, 495495, 499995, 593406, 692307, 791208, 890109, 1979802, 2969703, 3959604, 4399956, 4500045, 4549545, 4949505, 4950495, 4999995

Offset

1,1

Comments

Inspired by the entry 4356 in Wells.

References

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 169.

Links

Table of n, a(n) for n=1..35.

Example

4356 is a term since its digital reversal 6534 = 4356 * 3/2.

Mathematica

Select[Range[5000000], Numerator[r = FromDigits[Reverse[IntegerDigits[#]]]/#] == Denominator[r] + 1 &]

Crossrefs

Cf. A004086, A376260 (digital reversal).

Sequence in context: A036495 A325981 A053137 * A193434 A086576 A295319

Adjacent sequences: A376256 A376257 A376258 * A376260 A376261 A376262

Keyword

nonn,base

Author

Stefano Spezia, Sep 17 2024

Status

approved