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Search: id:A055616
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A055616 Numbers with 2*n digits which are the sum of the squares of their n-digit halves (leading zeros allowed only for the second half). +0
5
1233, 8833, 990100, 94122353, 1765038125, 2584043776, 7416043776, 8235038125, 9901009901, 116788321168, 123288328768, 876712328768, 883212321168, 999900010000, 13793103448276, 15348303604525 (list; graph; listen)
OFFSET

1,1

COMMENT

The sequence is infinite since it contains several infinite subsequences (see A055617, etc.).

If x = A*10^n+B is an element not beginning with 9, then (10^n-A)*10^n+B is another (e.g. 1233 <-> 8833)

EXAMPLE

8833 is ok, since 8833 = 88^2 + 33^2

CROSSREFS

Cf. A064942 for the number of solutions, where leading zeros are allowed, A055617-A055619.

Cf. A055617-A055619.

Sequence in context: A038813 A064942 A101311 this_sequence A104971 A091332 A122043

Adjacent sequences: A055613 A055614 A055615 this_sequence A055617 A055618 A055619

KEYWORD

nonn,base

AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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