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17, 66, 147, 260, 405, 582, 791, 1032, 1305, 1610, 1947, 2316, 2717, 3150, 3615, 4112, 4641, 5202, 5795, 6420, 7077, 7766, 8487, 9240, 10025, 10842, 11691, 12572, 13485, 14430, 15407, 16416, 17457, 18530, 19635, 20772, 21941, 23142, 24375, 25640
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (2048*n^2+128*n+1)^2-(16*n^2+n)*(512*n+16)^2=1 can be written as A157476(n)^2-a(n)*A157475(n)^2=1 (see also second comment in A157476).
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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 (3,-3,1).
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FORMULA
| a(n) = A173511(2*n). - Reinhard Zumkeller, Feb 20 2010
a(1)=17, a(2)=66, a(3)=147, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, Nov 08 2011
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MATHEMATICA
| Table[16n^2+n, {n, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {17, 66, 147}, 50] (* From Harvey P. Dale, Nov 08 2011 *)
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PROG
| (PARI) a(n)=16*n^2+n \\ Charles R Greathouse IV, Feb 09 2012
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CROSSREFS
| Cf. A157475, A157476.
Sequence in context: A115295 A065011 A031432 * A024215 A095071 A095072
Adjacent sequences: A157471 A157472 A157473 * A157475 A157476 A157477
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 01 2009
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EXTENSIONS
| Comment rewritten by Bruno Berselli, Aug 22 2011
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