A299288 Partial sums of A299287.

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

Offset

0,2

Links

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).

Formula

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)

Prog

(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

Crossrefs

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

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 10 2018

Status

approved