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A299282
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Partial sums of A299281.
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51
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1, 7, 26, 67, 139, 253, 419, 643, 931, 1295, 1749, 2299, 2947, 3705, 4591, 5611, 6763, 8059, 9521, 11155, 12955, 14933, 17115, 19507, 22099, 24903, 27949, 31243, 34771, 38545, 42599, 46939, 51547, 56435, 61641, 67171, 73003, 79149, 85651, 92515, 99715, 107263, 115205
(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 (4,-8,12,-14,12,-8,4,-1).
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FORMULA
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From Colin Barker, Feb 14 2018: (Start)
G.f.: (1 + x)*(1 + x^2 + x^3)*(1 + 2*x + 3*x^2 + x^4 - 2*x^5 + x^6) / ((1 - x)^4*(1 + x^2)^2).
a(n) = 4*a(n-1) - 8*a(n-2) + 12*a(n-3) - 14*a(n-4) + 12*a(n-5) - 8*a(n-6) + 4*a(n-7) - a(n-8) for n>8.
(End)
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PROG
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(PARI) Vec((1 + x)*(1 + x^2 + x^3)*(1 + 2*x + 3*x^2 + x^4 - 2*x^5 + x^6) / ((1 - x)^4*(1 + x^2)^2) + O(x^70)) \\ Colin Barker, Feb 14 2018
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CROSSREFS
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Cf. A299281.
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: A068601 A268861 A221793 * A269700 A006325 A053346
Adjacent sequences: A299279 A299280 A299281 * A299283 A299284 A299285
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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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