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A007533
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(5n+1)^2 + 4n+1.
(Formerly M2162)
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2
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2, 41, 130, 269, 458, 697, 986, 1325, 1714, 2153, 2642, 3181, 3770, 4409, 5098, 5837, 6626, 7465, 8354, 9293, 10282, 11321, 12410, 13549, 14738, 15977, 17266, 18605, 19994, 21433, 22922, 24461, 26050, 27689, 29378
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Also, numbers of the form (3n+1)^2+(4n+1)^2. - Bruno Berselli, Dec 11 2011
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REFERENCES
| W. Sierpi\'{n}ski, Elementary Theory of Numbers. Pa\'{n}st. Wydaw. Nauk., Warsaw, 1964, p. 323.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
W. Sierpi\'{n}ski, Elementary Theory of Numbers, Warszawa 1964.
Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| a(n) = 25n^2+14n+2. G.f.: (2+35*x+13*x^2)/(1-x)^3. - Bruno Berselli, Dec 11 2011
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PROG
| (MAGMA) [(5*n+1)^2 + 4*n+1: n in [0..40]]; // Vincenzo Librandi, May 02 2011
(PARI) a(n)=25*n^2 + 14*n + 2 \\ Charles R Greathouse IV, May 02, 2011
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CROSSREFS
| Sequence in context: A073186 A103335 A047936 * A088565 A090195 A063271
Adjacent sequences: A007530 A007531 A007532 * A007534 A007535 A007536
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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