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Search: id:A079500
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| A079500 |
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Number of compositions of the integer n with the largest part in the first position. |
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+0
9
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| 1, 1, 2, 3, 5, 8, 14, 24, 43, 77, 140, 256, 472, 874, 1628, 3045, 5719, 10780, 20388, 38674, 73562
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OFFSET
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0,3
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REFERENCES
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A. Frosini and S. Rinaldi, On the Sequence A079500 and Its Combinatorial Interpretations, Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.1.
Arnold Knopfmacher and Neville Robbins, Compositions with parts constrained by the leading summand, Ars Combin. 76 (2005), 287-295.
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LINKS
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A. Frosini and S. Rinaldi, On the Sequence A079500 and Its Combinatorial Interpretations, Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.1.
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FORMULA
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G.f.: sum (1-z)z^k/(1-2z+z^k); k=1..inf
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EXAMPLE
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a(4)=3 because we have 4;3+1;2+2,2+1+1;1+1+1+1
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CROSSREFS
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Essentially the same as A007059.
Sequence in context: A127603 A108351 A038495 this_sequence A007059 A108296 A072100
Adjacent sequences: A079497 A079498 A079499 this_sequence A079501 A079502 A079503
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KEYWORD
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nonn
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AUTHOR
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Arnold Knopfmacher (arnoldk(AT)cam.wits.ac.za), Jan 21 2003
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