A249605 Dissectible numbers in the sense of Gunjikar and Kaprekar.

9, 18, 27, 36, 45, 54, 63, 72, 81, 108, 117, 126, 135, 144, 153, 162, 207, 216, 225, 234, 243, 306, 315, 324, 405

Offset

1,1

Comments

The numbers really have exactly three digits, allowing leading zeros. The full list is: 009, 018, 027, 036, 045, 054, 063, 072, 081, 108, 117, 126, 135, 144, 153, 162, 207, 216, 225, 234, 243, 306, 315, 324, 405.

A dissectible number is a three-digit number abc with the property that when multiplied by any Wonderful Demlo number (A002477) the product has the form axx..xbyy..yc, with the same number of x digits as y digits.

Links

Table of n, a(n) for n=1..25.

K. R. Gunjikar and D. R. Kaprekar, Theory of Demlo numbers, J. Univ. Bombay, Vol. VIII, Part 3, Nov. 1939, pp. 3-9. [Annotated scanned copy]

Example

9*12321 = 009*12321 = 0110889 (a=b=0, c=9, x=1, y=8).
162*121 = 19602 (here x=9, y=0).
162*12321 = 1996002 (again x=9, y=0).

Crossrefs

Cf. A002477.

Sequence in context: A248050 A044052 A131418 * A130692 A043453 A028439

Adjacent sequences: A249602 A249603 A249604 * A249606 A249607 A249608

Keyword

nonn,fini,full,base

Author

N. J. A. Sloane, Nov 04 2014

Status

approved