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A299288
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Partial sums of A299287.
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51
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1, 11, 44, 116, 242, 438, 719, 1101, 1599, 2229, 3006, 3946, 5064, 6376, 7897, 9643, 11629, 13871, 16384, 19184, 22286, 25706, 29459, 33561, 38027, 42873, 48114, 53766, 59844, 66364, 73341, 80791, 88729, 97171, 106132, 115628, 125674, 136286, 147479, 159269
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-2,-2,3,-1).
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FORMULA
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From Colin Barker, Feb 11 2018: (Start)
G.f.: (1 + 8*x + 13*x^2 + 8*x^3 + x^4) / ((1 - x)^4*(1 + x)).
a(n) = (62*n^3 + 93*n^2 + 82*n + 24) / 24 for n even.
a(n) = (62*n^3 + 93*n^2 + 82*n + 27) / 24 for n odd.
a(n) = 3*a(n-1) - 2*a(n-2) - 2*a(n-3) + 3*a(n-4) - a(n-5) for n>4.
(End)
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PROG
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(PARI) Vec((1 + 8*x + 13*x^2 + 8*x^3 + x^4) / ((1 - x)^4*(1 + x)) + O(x^60)) \\ Colin Barker, Feb 11 2018
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CROSSREFS
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Cf. A299287.
The 28 uniform 3D tilings: cab: A299266, A299267; crs: A299268, A299269; fcu: A005901, A005902; fee: A299259, A299265; flu-e: A299272, A299273; fst: A299258, A299264; hal: A299274, A299275; hcp: A007899, A007202; hex: A005897, A005898; kag: A299256, A299262; lta: A008137, A299276; pcu: A005899, A001845; pcu-i: A299277, A299278; reo: A299279, A299280; reo-e: A299281, A299282; rho: A008137, A299276; sod: A005893, A005894; sve: A299255, A299261; svh: A299283, A299284; svj: A299254, A299260; svk: A010001, A063489; tca: A299285, A299286; tcd: A299287, A299288; tfs: A005899, A001845; tsi: A299289, A299290; ttw: A299257, A299263; ubt: A299291, A299292; bnn: A007899, A007202. See the Proserpio link in A299266 for overview.
Sequence in context: A253445 A172526 A111080 * A299286 A022816 A120537
Adjacent sequences: A299285 A299286 A299287 * A299289 A299290 A299291
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Feb 10 2018
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STATUS
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approved
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