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A060801
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Invert transform of odd numbers: a(n)=Sum_{k=1..n} (2*k+1)*a(n-k), a(0)=1.
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2
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1, 3, 14, 64, 292, 1332, 6076, 27716, 126428, 576708, 2630684, 12000004, 54738652, 249693252, 1138988956, 5195558276, 23699813468, 108107950788, 493140127004, 2249484733444, 10261143413212, 46806747599172, 213511451169436
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 27 2009: (Start)
A003946 = INVERT transform of the odd integers. A060801 =
1 / (1 - 3x - 5x^2 - 7x^3 - ...). (End)
a(n) is the number of generalized compositions of n when there are 2* i+1 different types of i, (i=1,2,...). [From Milan R. Janjic (agnus(AT)blic.net), Sep 24 2010]
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LINKS
| N. J. A. Sloane, Transforms
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FORMULA
| G.f.: (x^2-2x+1)/(2x^2-5x+1).
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CROSSREFS
| Cf. A001906, A052530, A033453, A030017.
Sequence in context: A026243 A058139 A101476 * A151239 A151240 A161131
Adjacent sequences: A060798 A060799 A060800 * A060802 A060803 A060804
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KEYWORD
| nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 27 2001
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