A192689 Squares for which no final group of decimal digits less than the total forms a square.

16, 25, 36, 196, 256, 576, 676, 1156, 1296, 4096, 4356, 5476, 5776, 7056, 7396, 12996, 13456, 15376, 15876, 17956, 18496, 26896, 27556, 30276, 30976, 33856, 34596, 45796, 46656, 50176, 51076, 54756, 55696, 69696, 70756, 75076, 76176, 80656, 81796, 98596

Offset

1,1

Comments

25 is the only member of sequence that does not end in 6. Proof: All squares end in 0, 1, 4, 5, 6, or 9. 0, 1, 4, 9 can be ruled out because they're squares themselves. This leaves only 5 and 6. 25 qualifies. However, all squares that end in 5 end in 25, making it impossible for a square number ending in 5 with more than 2 digits to qualify, leaving only 6 as a valid final digit for all members of this sequence with 3 or more digits.

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

1936 is not a member of this sequence because 36 is a perfect square.

Crossrefs

Cf. A242077.

Sequence in context: A264604 A348235 A218439 * A002644 A118489 A110922

Adjacent sequences: A192686 A192687 A192688 * A192690 A192691 A192692

Keyword

nonn,base

Author

J. Lowell, Jul 07 2011

Extensions

a(11)-a(40) from Charles R Greathouse IV, Jul 08 2011

Status

approved