This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A155966 2n^2 + 8. 3
 10, 16, 26, 40, 58, 80, 106, 136, 170, 208, 250, 296, 346, 400, 458, 520, 586, 656, 730, 808, 890, 976, 1066, 1160, 1258, 1360, 1466, 1576, 1690, 1808, 1930, 2056, 2186, 2320, 2458, 2600, 2746, 2896, 3050, 3208, 3370, 3536, 3706, 3880, 4058 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The identity (n^3+4*n)^2+(2*n^2+8)^2=(n^2+4)^3 can be written as A155965(n)^2+a(n)^2=A087475(n)^3. 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). FORMULA G.f.: x*(10-14*x+8*x^2)/(1-x)^3. a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). MATHEMATICA LinearRecurrence[{3, -3, 1}, {10, 16, 26}, 50] (* Vincenzo Librandi, Feb 22 2012 PROG (PARI) a(n)=2*n^2+8 \\ Charles R Greathouse IV, Jan 11 2012 (MAGMA) I:=[10, 16, 26]; [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 22 2012 CROSSREFS Sequence in context: A152138 A109100 A155151 * A104788 A036063 A080360 Adjacent sequences:  A155963 A155964 A155965 * A155967 A155968 A155969 KEYWORD nonn,easy,changed AUTHOR Vincenzo Librandi, Jan 31 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .