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#27 by Alois P. Heinz at Wed Jan 19 21:58:24 EST 2022
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#26 by Jon E. Schoenfield at Wed Jan 19 21:34:36 EST 2022
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#25 by Jon E. Schoenfield at Wed Jan 19 21:34:35 EST 2022
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| COMMENTS
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a(n) is also the number of three-dimensional cage assemblies such that the assembly is not a cube. See also A052149 for the 2 two-dimensional version and to A059827 for the non-exclusive version. - Alejandro Rodriguez, Oct 20 2020
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approved
editing
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#24 by N. J. A. Sloane at Wed Oct 21 22:56:48 EDT 2020
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#23 by Kevin Ryde at Tue Oct 20 22:43:00 EDT 2020
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#22 by Kevin Ryde at Tue Oct 20 22:42:34 EDT 2020
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| LINKS
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<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
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proposed
editing
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#21 by Wesley Ivan Hurt at Tue Oct 20 19:34:36 EDT 2020
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#20 by Wesley Ivan Hurt at Tue Oct 20 19:34:22 EDT 2020
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| FORMULA
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a(n) = ((n+1)()*(n+2))^3/8 - sum(Sum_{i=1, ..n+1, } i^3) - _. - _Jon Perry_, Feb 13 2004
a(n) = C(2+n, n)*C(3+n, 1+n)*C(4+n, 2+n) - _). - _Zerinvary Lajos_, Jul 29 2005
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proposed
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#19 by Alejandro Rodriguez at Tue Oct 20 11:12:46 EDT 2020
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#18 by Alejandro Rodriguez at Tue Oct 20 10:33:04 EDT 2020
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| COMMENTS
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a(n) is also the number of three-dimensional cage assemblies such that the assembly is not a cube. RelatedSee also A052149 for the 2 dimensional version and to A059827.- _ for the non-exclusive version. - _Alejandro Rodriguez_, Oct 20 2020
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