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A130215 Order of modular group of degree 7^(n-1)+1. 0
0, 168, 58800, 20176632, 6920642400, 2373780746568, 814206798896400, 279272932041230232, 95790615690280324800, 32856181181767119892968, 11269670145346128902694000, 3865496859853722261079883832, 1325865422929826735882591047200, 454771840064930570410054065439368 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..14.

Index entries for linear recurrences with constant coefficients, signature (350,-2401).

FORMULA

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

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

MATHEMATICA

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

CROSSREFS

Cf. A120689.

Sequence in context: A210815 A282375 A289327 * A275460 A275456 A185404

Adjacent sequences:  A130212 A130213 A130214 * A130216 A130217 A130218

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Aug 04 2007

EXTENSIONS

More terms from Colin Barker, Sep 02 2013

STATUS

approved

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Last modified October 28 03:58 EDT 2021. Contains 348313 sequences. (Running on oeis4.)