A378254 -id:A378254 - cp's OEIS frontend

A378276 Cogrowth sequence of the 20-element dicyclic group Dic20 = .

1, 0, 0, 0, 1, 0, 6, 7, 19, 9, 61, 88, 226, 377, 945, 1473, 3427, 6154, 13758, 25327, 53967, 102865, 213345, 411700, 849706, 1661885, 3382821, 6668577, 13493719, 26725414, 53861446, 107074403, 215261971, 428704177, 860266725, 1715950208, 3439229842, 6866462849

Offset: 0

Sean A. Irvine, Nov 21 2024

Cf. A377656 (Dic12), A078789 (D10), A378254 (C10 X C2), A378278 (Frob20).

G.f.: (4*x^9-6*x^8-3*x^7-5*x^6-2*x^5-2*x^4-2*x^3-x^2+1) / ((2*x-1) * (2*x^2+2*x+1) * (x^2-x-1) * (4*x^4-2*x^3+3*x^2-x+1)).

A378278 Cogrowth sequence of the 20-element Frobenius group Frob20 = .

Original entry on oeis.org

1, 0, 0, 0, 1, 1, 3, 7, 15, 27, 51, 99, 199, 403, 819, 1651, 3303, 6579, 13107, 26163, 52327, 104755, 209715, 419635, 839271, 1678131, 3355443, 6710067, 13420135, 26841907, 53687091, 107377459, 214754919, 429503283, 858993459, 1717973811, 3435947623

Offset: 0

Sean A. Irvine, Nov 21 2024

Cf. A078789 (D10), A378254 (C10 X C2), A378276 (Dic20).

G.f.: (x^6+x^4+x^3-3*x^2+3*x-1) / ((2*x-1) * (x+1) * (x^2+1)/(2*x^2-2*x+1)).

cp's OEIS Frontend

A378276 Cogrowth sequence of the 20-element dicyclic group Dic20 = .

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