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A130215 Order of modular group of degree 7^(n-1)+1. 0

%I #15 Jan 17 2024 09:06:46

%S 0,168,58800,20176632,6920642400,2373780746568,814206798896400,

%T 279272932041230232,95790615690280324800,32856181181767119892968,

%U 11269670145346128902694000,3865496859853722261079883832,1325865422929826735882591047200,454771840064930570410054065439368

%N Order of modular group of degree 7^(n-1)+1.

%D E. Mathieu, Mémoire sur le nombre de valeurs que peut acquérir une fonction quand on y permute ses variables de toutes les manières possibles, Journ. de math. (2) 5 (1860), 9-42 (see p. 39).

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (350,-2401).

%F a(n) = (7^(n-1))*(7^(2n-2)-1)/2.

%F a(n) = 350*a(n-1)-2401*a(n-2). G.f.: 168*x^2 / ((7*x-1)*(343*x-1)). - _Colin Barker_, Sep 02 2013

%t Table[7^(x - 1) (7^(2 x - 2) - 1)/2, {x, 1, 15}]

%t LinearRecurrence[{350,-2401},{0,168},20] (* _Harvey P. Dale_, Aug 01 2022 *)

%Y Cf. A120689.

%K nonn,easy

%O 1,2

%A _Artur Jasinski_, Aug 04 2007

%E More terms from _Colin Barker_, Sep 02 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)