A377883 -id:A377883 - cp's OEIS frontend

A377885 Cogrowth sequence of the 16-element quasihedral group SD16 = .

1, 1, 1, 4, 28, 136, 544, 2080, 8128, 32512, 130816, 524800, 2099200, 8390656, 33550336, 134201344, 536854528, 2147516416, 8590065664, 34359869440, 137438691328, 549754765312, 2199022206976, 8796095119360, 35184380477440, 140737496743936, 562949936644096

Offset: 0

Sean A. Irvine, Nov 10 2024

Gives the even terms, all the odd terms are 0.

Also called QD16, Q8:C2. Gap identifier 16,8.

Index entries for linear recurrences with constant coefficients, signature (6, -12, 16).

Cf. A047849 (D4), A007582 (D8), A071930 (Q8), A377840 (C8 X C2), A377883 (M4(2)).

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

A377944 Cogrowth sequence of the 16-element dicyclic group Q16 = .

Original entry on oeis.org

1, 0, 1, 12, 28, 120, 544, 2016, 8128, 33024, 130816, 523776, 2099200, 8386560, 33550336, 134234112, 536854528, 2147450880, 8590065664, 34359607296, 137438691328, 549756862464, 2199022206976, 8796090925056, 35184380477440, 140737479966720, 562949936644096

Offset: 0

Sean A. Irvine, Nov 11 2024

Gives the even terms, all the odd terms are 0.

Also called Dic16, C8:C2. Gap identifier 16, 9.

Index entries for linear recurrences with constant coefficients, signature (2, 4, 16).

Cf. A071930 (Q8), A377656 (Dic12), A377735 (Q8 X C2), A377840 (C8 X C2), A007582 (D8), A377885 (SD16), A377883 (M4(2)).

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

cp's OEIS Frontend

A377885 Cogrowth sequence of the 16-element quasihedral group SD16 = .

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