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Search: id:A097936
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| A097936 |
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Total number of parts in all compositions of n into distinct odd parts. |
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+0
2
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| 1, 0, 1, 4, 1, 4, 1, 8, 19, 8, 19, 12, 37, 12, 55, 112, 73, 112, 91, 212, 127, 308, 145, 504, 781, 600, 817, 892, 1453, 1084, 2089, 1472, 3343, 1760, 4579, 6564, 6433, 6948, 8287, 11944, 11341, 16744, 14395, 26156, 18667, 35468, 22921, 53712, 64273, 67440
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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Sum_{k>0} (k*k!*x^(k^2)/Product_{j=1..k} (1-x^(2*j))).
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MATHEMATICA
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Drop[ CoefficientList[ Series[um[k*k!*x^k^2/Product[1 - x^(2j), {j, 1, k}], {k, 1, 55}], {x, 0, 50}], x], 1] (from Robert G. Wilson v Sep 08 2004)
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CROSSREFS
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Cf. A097910, A079499, A032021.
Sequence in context: A074393 A095666 A089655 this_sequence A050338 A077088 A002193
Adjacent sequences: A097933 A097934 A097935 this_sequence A097937 A097938 A097939
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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.yu), Sep 05 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 08 2004
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