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A006479 From variance of Fibonacci search.
(Formerly M3880)
2
0, 0, 0, 1, 5, 18, 52, 134, 318, 713, 1531, 3180, 6432, 12732, 24756, 47417, 89665, 167694, 310628, 570562, 1040226, 1883953, 3391799, 6073848, 10824096, 19204536, 33936456 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

K. J. Overholt, Efficiency of the Fibonacci search method, Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 92-96.

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..26.

Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992.

Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992.

FORMULA

(Conjecture equivalent to Plouffe g.f.): a(n) = -3 -2*A001629(n+2) -3*A001629(n+1) +2*A001628(n-1) +A020701(n+1) . R. J. Mathar, Dec 06 2010

MAPLE

A006479:=z**3*(1+z+z**2)/(z-1)/(z**2+z-1)**3; [Conjectured by Simon Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A006478.

Sequence in context: A257055 A036893 A125641 * A127983 A226903 A056782

Adjacent sequences:  A006476 A006477 A006478 * A006480 A006481 A006482

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 21 05:29 EDT 2017. Contains 293679 sequences.