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11, 132, 495, 1100, 1947, 3036, 4367, 5940, 7755, 9812, 12111, 14652, 17435, 20460, 23727, 27236, 30987, 34980, 39215, 43692, 48411, 53372, 58575, 64020, 69707, 75636, 81807, 88220, 94875, 101772, 108911, 116292, 123915, 131780, 139887
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The identity (22*n^2+1)^2-(121*n^2+11) * (2*n)^2 = 1 can be written as A158537(n)^2 -a(n) * A005843(n)^2 = 1.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1)
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FORMULA
| a(n)= 3*a(n-1) -3*a(n-2) +a(n-3). G.f.: 11*(1+9*x+12*x^2)/(1-x)^3. - R. J. Mathar, Oct 16 2009
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MATHEMATICA
| 121Range[0, 40]^2+11 (* From Harvey P. Dale, Mar 4 2011 *)
LinearRecurrence[{3, -3, 1}, {11, 132, 495}, 50] (* Vincenzo Librandi, Feb 12 2012 *)
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PROG
| (MAGMA) I:=[11, 132, 495]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 12 2012
(PARI) for(n=1, 40, print1(121*n^2+11", ")); \\ Vincenzo Librandi, Feb 12 2012
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CROSSREFS
| Cf. A005843, A158537.
Sequence in context: A068645 A097258 A044041 * A105280 A196731 A051431
Adjacent sequences: A158533 A158534 A158535 * A158537 A158538 A158539
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KEYWORD
| nonn,less,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 21 2009
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EXTENSIONS
| a(0) added - R. J. Mathar, Oct 16 2009
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