A118937 Sub-Kaprekar numbers (1): n such that n=q-r and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n not a power of 10.

11, 101, 1001, 1078, 1287, 1364, 10001, 11096, 100001, 118183, 1000001, 1336634, 10000001, 12727274, 100000001, 123529412, 1000000001, 1019138757, 1025974026, 1097744361, 1120879122, 1140017878, 1165991904, 1237762239, 1288553552

Offset

1,1

Links

Table of n, a(n) for n=1..25.

Example

1287^2 = 1656369 and 1656-369 = 1287.
A larger example: 1594563333^2 = 2542632222948068889 and
2542632222-948068889=1594563333.

Crossrefs

Cf. A006886, A118936, A118938.

Sequence in context: A351811 A171750 A191420 * A031997 A116098 A116129

Adjacent sequences: A118934 A118935 A118936 * A118938 A118939 A118940

Keyword

base,nonn

Author

Giovanni Resta, May 06 2006

Status

approved