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Search: id:A103422
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| A103422 |
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Number of compositions of n in which the greatest part is even. |
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+0
4
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| 0, 1, 2, 5, 9, 18, 34, 66, 127, 249, 490, 972, 1936, 3874, 7772, 15623, 31439, 63308, 127506, 256782, 516970, 1040340, 2092450, 4206146, 8449953, 16965459, 34042784, 68272206, 136847328, 274168858, 549042730, 1099050180, 2199222960
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OFFSET
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1,3
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FORMULA
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G.f.: Sum((1-x)^2*x^(2*n)/((1-2*x+x^(2*n))*(1-2*x+x^(2*n+1))), n=1..infinity).
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MATHEMATICA
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Rest[ CoefficientList[ Series[ Expand[ Sum[(1 - x)^2*x^(2n)/((1 - 2x + x^(2n))*(1 - 2x + x^(2n + 1))), {n, 35}]], {x, 0, 35}], x]] (from Robert G. Wilson v Feb 05 2005)
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CROSSREFS
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Cf. A103419, A103420, A103421, A027187, A027193, A026804, A026805.
Sequence in context: A002883 A077865 A117353 this_sequence A097281 A068036 A077947
Adjacent sequences: A103419 A103420 A103421 this_sequence A103423 A103424 A103425
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 04 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2005
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