A214558 Subsequence of fixed points A099009 of the Kaprekar mapping with numbers of the form 8(x1+1)//7(2*x2)//6(x1+1)//5(x2)//4(x1+x2+1)//3(x2)//2(x1+x2)//1//9(x1+2*x2+1)//7(x1+x2+1)//6(x2)//5(x1+x2+1)//4(x2)//3(x1+1)//2(2*x2)//1(x1)//2.

864197532, 886644219977553312, 87765443219997765543222, 888666444221999777555333112, 88776654443221999977765554332212

Offset

0,1

Comments

The sign // denotes concatenation of digits in the definition, and d(x) denotes x repetitions of d, x>=0.

Links

Syed Iddi Hasan, Table of n, a(n) for n = 0..92

Formula

If d(x) denotes x repetitions of the digit d, then a(n)=8(x1+1)7(2*x2)6(x1+1)5(x2)4(x1+x2+1)3(x2)2(x1+x2)19(x1+2*x2+1)7(x1+x2+1)6(x2)5(x1+x2+1)4(x2)3(x1+1)2(2*x2)1(x1)2, where x1,x2>=0.

Example

886644219977553312 is a fixed point of the mapping for x1=1, x2=0.

Crossrefs

Cf. A214555, A214556, A214557, A214559.

Sequence in context: A204406 A204141 A214557 * A183708 A210299 A178557

Adjacent sequences: A214555 A214556 A214557 * A214559 A214560 A214561

Keyword

nonn,base

Author

Syed Iddi Hasan, Jul 20 2012

Status

approved