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G.f. = : -(x^11-x^9-x^8-3*x^7-6*x^6-6*x^5-5*x^4-6*x^3-5*x^2-3*x-1)/(x^8-x^7-x+1). - N. J. A. Sloane, Mar 29 2018
<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 1, -1).
LinearRecurrence[{1, 0, 0, 0, 0, 0, 1, -1}, {1, 4, 9, 15, 20, 26, 32, 36, 40, 46, 52, 56}, 100] (* Paolo Xausa, Nov 15 2023 *)
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1, 4, 9, 15, 20, 26, 32, 36, 40, 46, 52, 56, 62, 68, 72, 76, 82, 88, 92, 98, 104, 108, 112, 118, 124, 128, 134, 140, 144, 148, 154, 160, 164, 170, 176, 180, 184, 190, 196, 200, 206, 212, 216, 220, 226, 232, 236, 242, 248, 252, 256, 262, 268, 272, 278, 284, 288, 292, 298, 304, 308, 314, 320, 324, 328, 334, 340, 344, 350, 356, 360, 364, 370, 376, 380, 386, 392, 396, 400, 406, 412, 416, 422, 428, 432, 436, 442, 448, 452, 458, 464, 468, 472, 478, 484, 488, 494, 500, 504, 508, 514
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="/A301680/b301680_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="/A301680/b301680_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_08">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 1, -1).
Conjecture: G.f. = -(x^11-x^9-x^8-3*x^7-6*x^6-6*x^5-5*x^4-6*x^3-5*x^2-3*x-1)/(x^8-x^7-x+1). - N. J. A. Sloane, Mar 29 2018
nonn,more
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