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A034108 Fractional part of square root of a(n) starts with 2: first term of runs. 1

%I #13 Apr 15 2024 04:57:43

%S 5,18,28,39,52,68,85,105,126,149,175,202,232,263,296,332,369,409,450,

%T 493,539,586,636,687,740,796,853,913,974,1037,1103,1170,1240,1311,

%U 1384,1460,1537,1617,1698,1781,1867,1954,2044,2135,2228,2324,2421,2521,2622

%N Fractional part of square root of a(n) starts with 2: first term of runs.

%F Conjectures from _Chai Wah Wu_, Apr 14 2024: (Start)

%F a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2*a(n-6) + a(n-7) for n > 8.

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

%Y Cf. A034098.

%K nonn,base,changed

%O 1,1

%A _Patrick De Geest_, Sep 15 1998

%E Offset 1 from _Alois P. Heinz_, Aug 05 2020

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)