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A249605 Dissectible numbers in the sense of Gunjikar and Kaprekar. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 18 04:47 EST 2019. Contains 319269 sequences. (Running on oeis4.)