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A056161 Solutions (value of x) of Diophantine equation 2*x^2 + 3*x + 2 = r^2. +0
1
2, 7, 94, 263, 3218, 8959, 109342, 304367, 3714434, 10339543, 126181438, 351240119, 4286454482, 11931824527, 145613270974, 405330793823, 4946564758658, 13769315165479, 168037588523422, 467751384832487 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = floor(A055979(n)/sqrt(2)).

G.f.: (x^4+x^3-19*x^2-5*x-2) / (x^5-x^4-34*x^3+34*x^2+x-1). [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 03 2009]

MAPLE

a:= n-> (Matrix([94, 7, 2, -1, -2]). Matrix([[1, 1, 0, 0, 0], [34, 0, 1, 0, 0], [ -34, 0, 0, 1, 0], [ -1, 0, 0, 0, 1], [1, 0, 0, 0, 0]])^n)[1, 3]: seq (a(n), n=0..25); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 03 2009]

CROSSREFS

Cf. A055979.

Sequence in context: A079701 A096208 A123995 this_sequence A076740 A112290 A072059

Adjacent sequences: A056158 A056159 A056160 this_sequence A056162 A056163 A056164

KEYWORD

nonn

AUTHOR

Helge Robitzsch (hrobi(AT)math.uni-goettingen.de), Aug 01 2000

EXTENSIONS

More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 03 2009

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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