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A103343 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 3, 1, 4, 5, 9, 14, 23, 37, .... +0
3
0, 1, 0, 1, 2, 2, 1, 1, 2, 3, 2, 0, 2, 3, 3, 2, 1, 3, 4, 3, 1, 2, 3, 4, 3, 0, 3, 5, 4, 2, 2, 4, 5, 3, 0, 3, 4, 4, 3, 1, 4, 6, 5, 2, 3, 5, 6, 4, 0, 4, 6, 5, 3, 2, 5, 6, 4, 1, 3, 4, 5, 4, 0, 4, 7, 6, 3, 3, 6, 8, 5, 0, 5, 7, 6, 4, 2, 6, 8, 6, 2, 4, 6, 7, 5, 0, 5, 8, 6, 3, 3, 6, 7, 4, 0, 4, 5, 5, 4, 1, 5 (list; graph; listen)
OFFSET

0,5

REFERENCES

J. Berstel, An Exercise on Fibonacci Representations, RAIRO/Informatique Theorique, Vol. 35, No 6, 2001, pp. 491-498.

D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, Fib. Quart., 4 (1966), 289-306 and 322.

LINKS

Ron Knott, Ron Knott's Sequence Visualiser.

Casey Mongoven, V(n) Rep Sequence no. 1; electronic music created with this sequence.

CROSSREFS

Cf. A000121, A000119, A067595, A003263, A103344.

Sequence in context: A122915 A030298 A098281 this_sequence A085263 A115092 A011847

Adjacent sequences: A103340 A103341 A103342 this_sequence A103344 A103345 A103346

KEYWORD

nonn

AUTHOR

Casey Mongoven (cm(AT)caseymongoven.com), Feb 01 2005

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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