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<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 2, 0, 0, 0, 0, -1).
G.f. = : -(-x^10-6*x^9-6*x^8-9*x^7-12*x^6-16*x^5-12*x^4-9*x^3-6*x^2-6*x-1)/(x^10-2*x^5+1). - N. J. A. Sloane, Mar 29 2018
LinearRecurrence[{0, 0, 0, 0, 2, 0, 0, 0, 0, -1}, {1, 6, 6, 9, 12, 18, 24, 21, 24, 30, 36}, 100] (* Paolo Xausa, Nov 16 2023 *)
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1, 6, 6, 9, 12, 18, 24, 21, 24, 30, 36, 42, 36, 39, 48, 54, 60, 51, 54, 66, 72, 78, 66, 69, 84, 90, 96, 81, 84, 102, 108, 114, 96, 99, 120, 126, 132, 111, 114, 138, 144, 150, 126, 129, 156, 162, 168, 141, 144, 174, 180, 186, 156, 159, 192, 198, 204, 171, 174, 210, 216, 222, 186, 189, 228, 234, 240, 201, 204, 246, 252, 258, 216, 219, 264, 270, 276, 231, 234, 282, 288, 294, 246, 249, 300, 306, 312, 261, 264, 318, 324, 330, 276, 279, 336, 342, 348, 291, 294, 354, 360
DATA section contains 100 terms - this was deliberate. If you want to shorten this section, kindly add a b-file first. - N. J. A. Sloane, Mar 29 2018
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Ray Chandler, <a href="/A301690/b301690_1.txt">Table of n, a(n) for n = 0..1000</a>
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Linear recurrence and g.f. confirmed by Shutov/Maleev link. - Ray Chandler, Aug 30 2023
Ray Chandler, <a href="/A301690/b301690_1.txt">Table of n, a(n) for n = 0..1000</a>
Anton Shutov and Andrey Maleev, <a href="https://doi.org/10.1515/zkri-2020-0002">Coordination sequences of 2-uniform graphs</a>, Z. Kristallogr., 235 (2020), 157-166. See supplementary material, krb, vertex u_1.
<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 2, 0, 0, 0, 0, -1).
Conjecture: G.f. = -(-x^10-6*x^9-6*x^8-9*x^7-12*x^6-16*x^5-12*x^4-9*x^3-6*x^2-6*x-1)/(x^10-2*x^5+1). - N. J. A. Sloane, Mar 29 2018
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