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 A299292 Partial sums of A299291. 51
 1, 6, 20, 49, 105, 190, 320, 501, 727, 1026, 1408, 1853, 2391, 3026, 3734, 4579, 5541, 6620, 7838, 9201, 10657, 12328, 14136, 16123, 18293, 20658, 23128, 25905, 28825, 31994, 35388, 39029, 42779, 46942, 51240, 55865, 60755, 65946, 71242, 77071, 83013, 89368, 96026 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS First 80 terms computed by Davide M. Proserpio using ToposPro. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,-1,2,0,-2,-2,0,2,-1,0,1,1,0,-1). FORMULA G.f.: (12*x^20 + 16*x^19 - 20*x^17 - 27*x^16 - 8*x^15 + 3*x^14 + 46*x^13 + 115*x^12 + 176*x^11 + 212*x^10 + 226*x^9 + 228*x^8 + 214*x^7 + 170*x^6 + 122*x^5 + 79*x^4 + 42*x^3 + 19*x^2 + 6*x + 1) / ((1 - x^2)*(1 - x^3)*(1 - x^6)^2). a(n) = a(n-2) + a(n-3) - a(n-5) + 2*a(n-6) - 2*a(n-8) - 2*a(n-9) + 2*a(n-11) - a(n-12) + a(n-14) + a(n-15) - a(n-17) for n>17. - Colin Barker, Feb 14 2018 PROG (PARI) Vec((12*x^20 + 16*x^19 - 20*x^17 - 27*x^16 - 8*x^15 + 3*x^14 + 46*x^13 + 115*x^12 + 176*x^11 + 212*x^10 + 226*x^9 + 228*x^8 + 214*x^7 + 170*x^6 + 122*x^5 + 79*x^4 + 42*x^3 + 19*x^2 + 6*x + 1) / ((1 - x^2)*(1 - x^3)*(1 - x^6)^2) + O(x^50)) \\ Colin Barker, Feb 14 2018 CROSSREFS Cf. A299291. 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: A050768 A161438 A063488 * A162209 A161699 A216175 Adjacent sequences:  A299289 A299290 A299291 * A299293 A299294 A299295 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Feb 10 2018 STATUS approved

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Last modified October 14 07:00 EDT 2019. Contains 327995 sequences. (Running on oeis4.)