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A102766 Numbers n that can be chopped into two parts, which when added and squared result in n. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 17 16:51 EDT 2019. Contains 328120 sequences. (Running on oeis4.)