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A340495 Records in first differences of A340494. 3

%I #22 Jan 11 2021 00:20:37

%S 2,3,8,33,138,563,2268,9093,36398,145623,582528,2330153,9320658,

%T 37282683,149130788,596523213,2386092918,9544371743,38177487048,

%U 152709948273,610839793178,2443359172803

%N Records in first differences of A340494.

%H Rémy Sigrist, <a href="/A340495/a340495.txt">C program for A340495</a>

%F The sequence a(n)-4*a(n-1) appears to be -5, -4, 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, ... which is essentially 5*k+1 (k >= -1). The sequence itself appears to have g.f. =

%F x*(2*x-1)*(2*x^2+5*x-2)/((1-x)^2*(1-4*x)).

%o (C) See Links section.

%Y Cf. A340488, A340494.

%K nonn,more

%O 1,1

%A _Rémy Sigrist_ and _N. J. A. Sloane_, Jan 10 2021

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Last modified September 12 10:47 EDT 2024. Contains 375850 sequences. (Running on oeis4.)