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G.f. = : -(2*x^12-3*x^10-4*x^9-6*x^8-10*x^7-11*x^6-10*x^5-11*x^4-8*x^3-6*x^2-4*x-1)/(x^10-x^9+x^8-x^7-x^3+x^2-x+1). - N. J. A. Sloane, Mar 29 2018

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<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1, -1, 1, 0, 0, 0, 1, -1, 1, -1).

LinearRecurrence[{1, -1, 1, 0, 0, 0, 1, -1, 1, -1}, {1, 5, 10, 14, 20, 26, 31, 36, 41, 46, 52, 58, 60}, 100] (* Paolo Xausa, Nov 15 2023 *)

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1, 5, 10, 14, 20, 26, 31, 36, 41, 46, 52, 58, 60, 65, 74, 79, 80, 86, 96, 98, 99, 108, 117, 118, 120, 130, 136, 137, 142, 151, 156, 158, 164, 170, 175, 180, 185, 190, 196, 202, 204, 209, 218, 223, 224, 230, 240, 242, 243, 252, 261, 262, 264, 274, 280, 281, 286, 295, 300, 302, 308, 314, 319, 324, 329, 334, 340, 346, 348, 353, 362, 367, 368, 374, 384, 386, 387, 396, 405, 406, 408, 418, 424, 425, 430, 439, 444, 446, 452, 458, 463, 468, 473, 478, 484, 490, 492, 497, 506, 511, 512

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="/A301678/b301678_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="/A301678/b301678_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 (1, -1, 1, 0, 0, 0, 1, -1, 1, -1).

Conjecture: G.f. = -(2*x^12-3*x^10-4*x^9-6*x^8-10*x^7-11*x^6-10*x^5-11*x^4-8*x^3-6*x^2-4*x-1)/(x^10-x^9+x^8-x^7-x^3+x^2-x+1). - N. J. A. Sloane, Mar 29 2018

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