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A083352 Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares. 2
1, 3, 9, 9, 3, 15, 33, 18, 36, 24, 75, 96, 51, 96, 159, 165, 255, 168, 27, 60, 333, 255, 66, 18, 441, 291, 735, 258, 390, 696, 480, 696, 1062 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

After the first term, all terms seem to be a multiple of 3.

EXAMPLE

A(x)=1 + 3x + 9x^2 + 9x^3 + 3x^4 + 15x^5 + 33x^6 +...; so that A083353(x) =

A(x)^2 + A(x) - 1 = 1 + 9x + 36x^2 + 81x^3 + 144x^4 + 225x^5 + 324x^6 +...

CROSSREFS

Cf. A083353, A083354.

Sequence in context: A103555 A157349 A159811 * A091559 A084762 A188444

Adjacent sequences:  A083349 A083350 A083351 * A083353 A083354 A083355

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 07:10 EST 2012. Contains 205874 sequences.