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%I #22 Feb 06 2015 10:30:58
%S 9,18,27,36,45,54,63,72,81,108,117,126,135,144,153,162,207,216,225,
%T 234,243,306,315,324,405
%N Dissectible numbers in the sense of Gunjikar and Kaprekar.
%C 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.
%C 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.
%H K. R. Gunjikar and D. R. Kaprekar, <a href="/A249605/a249605.pdf">Theory of Demlo numbers</a>, J. Univ. Bombay, Vol. VIII, Part 3, Nov. 1939, pp. 3-9. [Annotated scanned copy]
%e 9*12321 = 009*12321 = 0110889 (a=b=0, c=9, x=1, y=8).
%e 162*121 = 19602 (here x=9, y=0).
%e 162*12321 = 1996002 (again x=9, y=0).
%Y Cf. A002477.
%K nonn,fini,full,base
%O 1,1
%A _N. J. A. Sloane_, Nov 04 2014
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