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2640, 5302, 7964, 10626, 13288, 15950, 18612, 21274, 23936, 26598, 29260, 31922, 34584, 37246, 39908, 42570, 45232, 47894, 50556, 53218, 55880, 58542, 61204, 63866, 66528, 69190, 71852, 74514, 77176, 79838, 82500, 85162, 87824, 90486
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (29282*n^2-484*n+1)^2-(121*n^2-2*n)*(2662*n-22)^2=1 can be written as A157610(n)^2-A157040(n)*a(n)^2=1.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
| a(n) = 2*a(n-1)-a(n-2) = 3*a(n-1) -3*a(n-2) +a(n-3).
G.f: x*(2640+22*x)/(x-1)^2.
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MATHEMATICA
| LinearRecurrence[{2, -1}, {2640, 5302}, 40]
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PROG
| (MAGMA) I:=[2640, 5302]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..40]];
(PARI) a(n) = 2662*n - 22.
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CROSSREFS
| Sequence in context: A139675 A190936 A020439 * A197108 A167191 A002482
Adjacent sequences: A157606 A157607 A157608 * A157610 A157611 A157612
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 03 2009
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