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A299290 Partial sums of A299289. 51
1, 9, 37, 97, 203, 367, 603, 923, 1341, 1869, 2521, 3309, 4247, 5347, 6623, 8087, 9753, 11633, 13741, 16089, 18691, 21559, 24707, 28147, 31893, 35957, 40353, 45093, 50191, 55659, 61511, 67759, 74417, 81497, 89013, 96977, 105403, 114303, 123691 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..38.

FORMULA

Conjectures from Colin Barker, Feb 11 2018: (Start)

G.f.: (1 + 6*x + 12*x^2 + 6*x^3 + x^4) / ((1 - x)^4*(1 + x)).

a(n) = (12 + 34*n + 39*n^2 + 26*n^3) / 12 for n even.

a(n) = (9 + 34*n + 39*n^2 + 26*n^3) / 12 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)

CROSSREFS

Cf. A299289.

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: A022276 A171443 A320696 * A304290 A244245 A288116

Adjacent sequences:  A299287 A299288 A299289 * A299291 A299292 A299293

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 10 2018

STATUS

approved

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Last modified November 19 04:33 EST 2018. Contains 317333 sequences. (Running on oeis4.)