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A008488 Expansion of (1-x^6) / (1-x)^6. 3
1, 6, 21, 56, 126, 252, 461, 786, 1266, 1946, 2877, 4116, 5726, 7776, 10341, 13502, 17346, 21966, 27461, 33936, 41502, 50276, 60381, 71946, 85106, 100002, 116781, 135596, 156606, 179976, 205877, 234486, 265986, 300566, 338421, 379752, 424766, 473676, 526701 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Growth series of the affine Weyl group of type A5. - Paul E. Gunnells, Dec 27 2016

REFERENCES

R. Bott, The geometry and the representation theory of compact Lie groups, in: Representation Theory of Lie Groups, in: London Math. Soc. Lecture Note Ser., vol. 34, Cambridge University Press, Cambridge, 1979, pp. 65-90.

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

Equals binomial transform of [1, 5, 10, 10, 5, 1, -1, 1, -1, 1,...]. - Gary W. Adamson, May 12 2008

a(n) = 2+n^4/4+15*n^2/4 for n>0. - R. J. Mathar, Jan 27 2009

MATHEMATICA

CoefficientList[Series[(1-x^6)/(1-x)^6, {x, 0, 30}], x] (* Harvey P. Dale, Sep 16 2016 *)

PROG

(PARI) Vec((1-x^6) / (1-x)^6 + O(x^50)) \\ Charles R Greathouse IV, Sep 26 2012, corrected by Colin Barker, Jan 06 2017

CROSSREFS

Sequence in context: A138780 A108907 A120478 * A023031 A090581 A000389

Adjacent sequences:  A008485 A008486 A008487 * A008489 A008490 A008491

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 22 18:10 EDT 2017. Contains 289671 sequences.