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A057781
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n^4+4 (or (n^2-2n+2)(n^2+2n+2)).
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1
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4, 5, 20, 85, 260, 629, 1300, 2405, 4100, 6565, 10004, 14645, 20740, 28565, 38420, 50629, 65540, 83525, 104980, 130325, 160004, 194485, 234260, 279845, 331780, 390629, 456980, 531445, 614660, 707285, 810004, 923525, 1048580, 1185925
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| SUM(A033999(k)*A016755(k)/a(k): 0<=k<=n) = A033999(n)*(n+1)/A053755(n+1), see Knuth reference. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 11 2010]
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REFERENCES
| D. E. Knuth, The Art of Computer Programming, Addison-Wesley, Reading, MA, 1997, Vol. 1, exercise 1.2.1 Nr. 11, p. 19. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 11 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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MATHEMATICA
| Table[n^4+4, {n, 0, 60}] (* From Vladimir Joseph Stephan Orlovsky, Apr 15 2011 *)
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PROG
| (MAGMA) [n^4+4: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011
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CROSSREFS
| a(n) =A002522(n-1)*A002522(n+1). Cf. A000583.
Equals A002523(n) + 3.
Sequence in context: A064670 A119283 A151499 * A081713 A120697 A135964
Adjacent sequences: A057778 A057779 A057780 * A057782 A057783 A057784
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KEYWORD
| nonn,easy
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Nov 04 2000
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