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Search: id:A083353
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A083353 Coefficients of power series A(x) consist entirely of squares, where A(x) = A083352(x)^2 + A083352(x) - 1. +0
3
1, 9, 36, 81, 144, 225, 324, 576, 1089, 1296, 1764, 2916, 4356, 6084, 7569, 9801, 16641, 20736, 25281, 32400, 39204, 53361, 69696, 76176, 90000, 110889, 149769, 176400, 184041, 207936, 281961, 338724, 363609 (list; graph; listen)
OFFSET

0,2

COMMENT

After the first term, all terms seem to be a multiple of 9.

EXAMPLE

A083352(x)=1 + 3x + 9x^2 + 9x^3 + 3x^4 + 15x^5 + 33x^6 +...; so that A(x) =

A083352(x)^2 + A083352(x) - 1 = 1 + 9x + 36x^2 + 81x^3 + 144x^4 + 225x^5 +...

CROSSREFS

Cf. A083352, A083354 (square-root of terms).

Sequence in context: A077115 A073946 A016766 this_sequence A083014 A001487 A009522

Adjacent sequences: A083350 A083351 A083352 this_sequence A083354 A083355 A083356

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Apr 26 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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