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A031506 Number of consecutive integers place in n bins under a certain packing scheme. +0
1
1, 4, 13, 36, 96, 253, 664, 1740, 4557, 11932, 31240, 81789, 214128, 560596, 1467661, 3842388, 10059504, 26336125, 68948872, 180510492, 472582605, 1237237324, 3239129368, 8480150781, 22201322976 (list; graph; listen)
OFFSET

0,2

REFERENCES

Phyllis Chinn and Jason Willard, "Fibonacci in a Bin Packing Problem", Fibonacci in a bin-packing problem. Proceedings of the Thirty-first Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 2000). Congr. Numer. 147 (2000), 97-104.

FORMULA

G.f.: (1+x^2-x^3)/(1-4*x+4*x^2-x^3).

For n>0, Fibonacci(2n) + Lucas(2n+1) - 1.

CROSSREFS

Sequence in context: A036643 A000299 A102301 this_sequence A065297 A067635 A003727

Adjacent sequences: A031503 A031504 A031505 this_sequence A031507 A031508 A031509

KEYWORD

nonn

AUTHOR

njas

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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