A101706 Numbers n such that reversal(n)=(7/3)*n.

0, 3267, 32967, 329967, 3299967, 32673267, 32999967, 326703267, 329999967, 3267003267, 3296732967, 3299999967, 32670003267, 32967032967, 32999999967, 326700003267, 326732673267, 329670032967, 329967329967, 329999999967, 3267000003267, 3267329673267, 3296700032967, 3299670329967, 3299999999967

Offset: 1

Author

Farideh Firoozbakht, Jan 01 2005

Keywords

• base
• nonn

Comments

If m is in the sequence then all numbers of the form g(m,s,t) for nonnagative integers s and t are in the sequence (the function g has been defined in the sequence A101704), for example g(3267,1,1)= 326703267 is in the sequence. If n=0 or n>1 then 33*(10^n-1) is in the sequence.

There are Fibonacci(floor((n-2)/2)) terms with n digits, n>1 (this is essentially A103609). - Ray Chandler, Oct 12 2017

Examples

			g(3267,10,2) = 32670000000000326700000000003267 is in the sequence
because reversal(32670000000000326700000000003267) =
76230000000000762300000000007623 =
(7/3)*32670000000000326700000000003267, g(3267,0,4) =
32673267326732673267 is in the sequence because
reversal(32673267326732673267) = 76237623762376237623 =
(7/3)*32673267326732673267.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A101704, A101705, A001232, A008918.

Programs

Mathematica

Do[If[FromDigits[Reverse[IntegerDigits[n]]] == (7/3)*n, Print[n]], {n, 100000000}]

Extensions

Terms a(8) onward from Max Alekseyev, Aug 18 2013