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A005364 Hoggatt sequence.
(Formerly M1943)
5
1, 2, 9, 58, 506, 5462, 70226, 1038578, 17274974, 317292692, 6346909285, 136723993122, 3143278648954, 76547029418394, 1962350550273130, 52679691605422354, 1474290522744355250, 42847373913958703100, 1288899422418558314550, 40013380588722843337620 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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).

LINKS

Table of n, a(n) for n=0..19.

D. C. Fielder, Letter to N. J. A. Sloane, Jun 1988

D. C. Fielder & C. O. Alford, An investigation of sequences derived from Hoggatt Sums and Hoggatt Triangles, Application of Fibonacci Numbers, 3 (1990) 77-88. Proceedings of 'The Third Annual Conference on Fibonacci Numbers and Their Applications,' Pisa, Italy, July 25-29, 1988. (Annotated scanned copy)

FORMULA

a(n) = S(6,n) where S(d,n) = 1 + Sum_{h=0..n-1} Product_{k=0..h} binomial(n+d-1-k,d) / binomial(d + k, d) [From Fielder and Alford]. - Sean A. Irvine, May 29 2016

MATHEMATICA

A005364[n_]:=HypergeometricPFQ[{-5-n, -4-n, -3-n, -2-n, -1-n, -n}, {2, 3, 4, 5, 6}, 1] (* Richard L. Ollerton (r.ollerton(AT)uws.edu.au), Sep 13 2006 *)

CROSSREFS

Sequence in context: A277358 A156129 A191811 * A267464 A184355 A151616

Adjacent sequences:  A005361 A005362 A005363 * A005365 A005366 A005367

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, May 29 2016

STATUS

approved

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Last modified November 18 14:59 EST 2019. Contains 329262 sequences. (Running on oeis4.)