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A030535 Expansion of Molien series for 16-D extraspecial group 2^{1+2*4}. 4
1, 1, 51, 219, 2244, 12815, 69615, 303165, 1180395, 4052070, 12706650, 36580770, 98256600, 247786866, 592040266, 1347148374, 2936245389, 6154632399, 12456241445, 24415459445, 46484089740, 86164059465, 155843612865, 275546946795, 477079706295, 810057618396 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The first formula intersperses the terms with zeros, the second formula does not. - Colin Barker, Apr 01 2015

LINKS

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

Index entries for Molien series

FORMULA

G.f.: (x^32 -7*x^30 +63*x^28 -161*x^26 +1394*x^24 -307*x^22 +7665*x^20 +987*x^18 +13498*x^16 +987*x^14 +7665*x^12 -307*x^10 +1394*x^8 -161*x^6 +63*x^4 -7*x^2 +1)/(1 +x^2)^8/(-1 +x^2)^8/(1 +x)^8/(-1 +x)^8.

G.f.: (x^16 -7*x^15 +63*x^14 -161*x^13 +1394*x^12 -307*x^11 +7665*x^10 +987*x^9 +13498*x^8 +987*x^7 +7665*x^6 -307*x^5 +1394*x^4 -161*x^3 +63*x^2 -7*x +1) / ((x -1)^16*(x +1)^8). - Colin Barker, Apr 01 2015

EXAMPLE

1+l^2+51*l^4+219*l^6+2244*l^8+12815*l^10+...

PROG

(PARI) Vec((x^16 -7*x^15 +63*x^14 -161*x^13 +1394*x^12 -307*x^11 +7665*x^10 +987*x^9 +13498*x^8 +987*x^7 +7665*x^6 -307*x^5 +1394*x^4 -161*x^3 +63*x^2 -7*x +1) / ((x -1)^16*(x +1)^8) + O(x^100)) \\ Colin Barker, Apr 01 2015

CROSSREFS

Cf. A014095, A030533, A030536, A030537.

Sequence in context: A007264 A158640 A107253 * A201813 A193250 A204717

Adjacent sequences:  A030532 A030533 A030534 * A030536 A030537 A030538

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)