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A301717 Partial sums of A301716. 1

%I #11 Aug 30 2023 14:06:21

%S 1,7,19,37,55,85,121,157,205,253,307,373,439,511,589,673,763,859,961,

%T 1063,1177,1297,1417,1549,1681,1819,1969,2119,2275,2437,2605,2779,

%U 2959,3145,3331,3529,3733,3937,4153,4369,4591,4825,5059,5299,5545,5797,6055,6319,6589,6859,7141,7429,7717,8017,8317,8623

%N Partial sums of A301716.

%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301716. - _Ray Chandler_, Aug 30 2023

%H Ray Chandler, <a href="/A301717/b301717.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 1, -1, 1, -1, 0, -1, 1).

%F From _Colin Barker_, Apr 09 2018: (Start)

%F G.f.: (1 + 6*x + 12*x^2 + 17*x^3 + 12*x^4 + 17*x^5 + 12*x^6 + 6*x^7 + x^8) / ((1 - x)^3*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)).

%F a(n) = a(n-1) + a(n-3) - a(n-4) + a(n-5) - a(n-6) - a(n-8) + a(n-9) for n>8.

%F (End)

%Y Cf. A301716.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Mar 26 2018

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Last modified April 23 05:35 EDT 2024. Contains 371906 sequences. (Running on oeis4.)