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Search: id:A005362
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| A005362 |
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Hoggatt sequence.
(Formerly M1789)
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+0
3
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| 1, 2, 7, 32, 177, 1122, 7898, 60398, 494078, 4274228, 38763298, 366039104, 3579512809, 36091415154, 373853631974, 3966563630394, 42997859838010, 475191259977060
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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D. C. Fielder and C. O. Alford, On a conjecture by Hoggatt with extensions to Hoggatt sums and Hoggatt triangles, Fib. Quart., 27 (1989), 160-168.
D. C. Fielder and C. O. Alford, ``An investigation of sequences derived from Hoggatt sums and Hoggatt triangles,'' in G. E. Bergum et al., editors, Applications of Fibonacci Numbers: Proc. Third Internat. Conf. on Fibonacci Numbers and Their Applications, Pisa, Jul 25-29, 1988. Kluwer, Dordrecht, Vol. 3, 1990, pp. 77-88.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Nick Hobson, Python program for this sequence
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FORMULA
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(n+3)(n+4)(n+5)(n+6)a(n) = 6(n+1)(n+3)(n+4)(2n+5)a(n-1) + 4(n-1)n(4n+7)(4n+9)a(n-2); a(0)=1, a(1)=2 - Richard L. Ollerton (r.ollerton(AT)uws.edu.au), Sep 12 2006
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MATHEMATICA
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A005362[n_]:=HypergeometricPFQ[{-3-n, -2-n, -1-n, -n}, {2, 3, 4}, 1] - Richard L. Ollerton (r.ollerton(AT)uws.edu.au), Sep 12 2006
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CROSSREFS
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Sequence in context: A161393 A143426 A125223 this_sequence A059439 A006014 A121555
Adjacent sequences: A005359 A005360 A005361 this_sequence A005363 A005364 A005365
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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