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A082209 a(1) = 1, a(n) = smallest number such that the concatenation of a(n-1) and a(n) is a square. +0
4
1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61, 504, 1, 6, 4, 9, 61 (list; graph; listen)
OFFSET

1,2

FORMULA

Periodic with period 6. - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

a(n)=1/6*{542*(n mod 6)-404*[(n+1) mod 6]-13*[(n+2) mod 6]+34*[(n+3) mod 6]+41*[(n+4) mod 6]+34*[(n+5) mod 6]} with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Nov 27 2006

EXAMPLE

a(3) = 9 hence a(4) = 61 and 961= 31^2.

CROSSREFS

Cf. A082210.

Sequence in context: A113276 A086034 A021943 this_sequence A143520 A075450 A145979

Adjacent sequences: A082206 A082207 A082208 this_sequence A082210 A082211 A082212

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 10 2003

EXTENSIONS

Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.


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