A134960 a(n) = n*453060.

0, 453060, 906120, 1359180, 1812240, 2265300, 2718360, 3171420, 3624480, 4077540, 4530600, 4983660, 5436720, 5889780, 6342840, 6795900, 7248960, 7702020, 8155080, 8608140, 9061200, 9514260, 9967320, 10420380, 10873440, 11326500, 11779560, 12232620, 12685680, 13138740

Offset

0,2

Comments

The first positive member of this sequence and some of its multiples are related to the exceptional Lie group E_8 calculation. The result of the calculation is a matrix with 453060 rows and columns. The size of the matrix is a(1)=453060 and the number of entries of the matrix is a(453060)=453060*453060=205263363600.

Links

Table of n, a(n) for n=0..29.

The American Institute of Mathematics, Mathematicians Maps E_8.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

From Elmo R. Oliveira, Jul 05 2025: (Start)

G.f.: 453060*x/(1-x)^2.

E.g.f.: 453060*x*exp(x).

a(n) = 540*A135639(n).

a(n) = 2*a(n-1) - a(n-2). (End)

Example

a(1) = 453060. a(453060) = 453060*453060 = 205263363600.

Mathematica

453060 Range[0, 30] (* Harvey P. Dale, Oct 11 2023 *)

Prog

(PARI) concat(0, Vec(453060*x/(x-1)^2 + O(x^30))) \\ Elmo R. Oliveira, Jul 05 2025

Crossrefs

Cf. A064730, A134888, A134950, A135639.

Sequence in context: A210332 A209714 A203785 * A134888 A237867 A234427

Adjacent sequences: A134957 A134958 A134959 * A134961 A134962 A134963

Keyword

easy,nonn

Author

Omar E. Pol, Nov 27 2007

Extensions

More terms from Elmo R. Oliveira, Jul 05 2025

Status

approved