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A061224
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Numbers of the form n^2 + (n + 1)^3 + (n + 2)^4 + (n + 3)^5.
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1
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260, 1114, 3412, 8474, 18244, 35410, 63524, 107122, 171844, 264554, 393460, 568234, 800132, 1102114, 1488964, 1977410, 2586244, 3336442, 4251284, 5356474, 6680260, 8253554, 10110052, 12286354, 14822084, 17760010, 21146164, 25029962
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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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 (6,-15,20,-15,6,-1).
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FORMULA
| G.f.: 2*(130-223*x+314*x^2-244*x^3+100*x^4-17*x^5)/(1-x)^6 - Bruno Berselli, Aug 05 2011
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EXAMPLE
| a(1) = 1 + 2^3 + 3^4 + 4^5 = 1 + 8 + 81 + 1024 = 1114.
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PROG
| (MAGMA) [n^2 + (n + 1)^3 + (n + 2)^4 + (n + 3)^5: n in [0..30]]; // Vincenzo Librandi, Aug 05 2011
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CROSSREFS
| Cf. A027621.
Sequence in context: A185793 A202585 A037219 * A108109 A168187 A067639
Adjacent sequences: A061221 A061222 A061223 * A061225 A061226 A061227
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com), May 31 2001
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EXTENSIONS
| Offset changed from 1 to 0 by Vincenzo Librandi, Aug 05 2011
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