A284800 Fixed points of the transform A284799.

6, 9, 12, 78, 90, 102, 114, 141, 153, 165, 177, 204, 216, 228, 240, 1086, 1134, 1182, 1230, 1338, 1386, 1434, 1482, 1590, 1638, 1686, 1734, 1842, 1890, 1938, 1986, 2109, 2157, 2205, 2253, 2361, 2409, 2457, 2505, 2613, 2661, 2709, 2757, 2865, 2913, 2961, 3009, 3132

Offset: 1

Author

Paolo P. Lava, Apr 03 2017

Keywords

• nonn
• base
• easy

Comments

All terms are divisible by 3. - Robert Israel, Apr 01 2020

Examples

			78 is a term of the sequence because 78 in base 4 is 1032, its complement in base 4 is 2301 and the digit reverse is again 1032 that is 78 in base 10.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A035928, A284799.

Programs

Maple

P:=proc(q,h) local a,b,k,n; for n from 1 to q do a:=convert(n,base,h); b:=0;
for k from 1 to nops(a) do a[k]:=h-1-a[k]; b:=h*b+a[k]; od; if b=n then print(n); fi; od; end: P(10^2,4);