A301283 -id:A301283 - cp's OEIS frontend

A301284 Partial sums of A301283.

1, 4, 10, 18, 30, 47, 65, 85, 111, 140, 169, 202, 241, 282, 323, 368, 420, 474, 526, 583, 649, 715, 778, 848, 927, 1005, 1080, 1162, 1254, 1345, 1431, 1525, 1631, 1734, 1831, 1938, 2057, 2172, 2281, 2400, 2532, 2660, 2780, 2911, 3057, 3197, 3328, 3472, 3631, 3783, 3926

Offset: 0

N. J. A. Sloane, Mar 23 2018

nonn

Cf. A301283.

A301285 Coordination sequence for node of type V2 in "car" 2-D tiling (or net).

Original entry on oeis.org

1, 3, 6, 10, 12, 14, 20, 23, 22, 27, 34, 34, 34, 40, 46, 47, 46, 51, 60, 60, 56, 64, 74, 71, 68, 77, 86, 84, 80, 88, 100, 97, 90, 101, 114, 108, 102, 114, 126, 121, 114, 125, 140, 134, 124, 138, 154, 145, 136, 151, 166, 158, 148, 162, 180, 171, 158, 175, 194

Offset: 0

N. J. A. Sloane, Mar 23 2018

nonn

Rémy Sigrist, Table of n, a(n) for n = 0..1000
Reticular Chemistry Structure Resource (RCSR), The car tiling (or net)
Rémy Sigrist, Illustration of first terms
Rémy Sigrist, PARI program for A301285

Cf. A301283.

PARI
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See Links section.
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Conjectures from Colin Barker, Mar 30 2018: (Start)
G.f.: (1 + 2*x + 5*x^2 + 7*x^3 + 7*x^4 + 7*x^5 + 5*x^6 + 2*x^7 + x^8) / ((1 - x)^2*(1 + x^2)^2*(1 + x + x^2)).
a(n) = a(n-1) - 2*a(n-2) + 3*a(n-3) - 2*a(n-4) + 3*a(n-5) - 2*a(n-6) + a(n-7) - a(n-8) for n>8.
(End)

More terms from Rémy Sigrist, Mar 28 2018

cp's OEIS Frontend

A301284 Partial sums of A301283.

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A301285 Coordination sequence for node of type V2 in "car" 2-D tiling (or net).

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