A067975 a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2.

2, 7, 43, 136, 367, 1157, 1822, 3658, 5558, 6196, 9679, 10183, 11794, 17852, 20813, 28354, 32193, 42852, 53787, 55044, 55707, 55983, 57636, 58464, 61719, 70209, 95232, 96354, 96921, 96963, 101407, 114223, 114323, 133564, 162293, 170843

Offset

0,1

Comments

a(n) for n>0 remains the same when a(0)=3. If "contained in" is replaced by "properly contained in" we get A065298.

Links

Table of n, a(n) for n=0..35.

Example

1157^2 = 1338649 and 1822 is the next smallest number whose square (in this case 3319684) contains the digits 1,3,3,8,6,4,9.

Crossrefs

Cf. A065297, A014563, A067971, A065298, A067973.

Sequence in context: A152559 A267239 A001174 * A065298 A091877 A050631

Adjacent sequences: A067972 A067973 A067974 * A067976 A067977 A067978

Keyword

base,nonn

Author

Marc Paulhus, Feb 05 2002

Status

approved