A102766 Numbers n that can be chopped into two parts, which when added and squared result in n.

1, 81, 100, 2025, 3025, 9801, 10000, 88209, 494209, 998001, 1000000, 4941729, 7441984, 23804641, 24502500, 25502500, 28005264, 52881984, 60481729, 99980001, 100000000, 300814336, 493817284, 1518037444, 6049417284, 6832014336

Offset

1,2

Links

Table of n, a(n) for n=1..26.

Henry Ernest Dudeney, Amusements in Mathematics, 1917. See problem 113, "The torn number".

Formula

a(n) = A248353(n)^2.

Example

a(7)=88209 as (88+209)^2 = 297^2 = 88209.

Crossrefs

Supersequence of A238237.

Sequence in context: A067521 A117686 A104113 * A256349 A202002 A249613

Adjacent sequences: A102763 A102764 A102765 * A102767 A102768 A102769

Keyword

nonn,base

Author

Bodo Zinser, Feb 10 2005

Extensions

a(1)=1 prepended by Max Alekseyev, Aug 04 2017

Status

approved