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Growth series of higher Heisenberg group H_5, with standard generators.
8

%I #17 May 23 2026 21:40:48

%S 1,20,220,1780,11282,59124,263702,1022668,3509204,10822028,30434152

%N Growth series of higher Heisenberg group H_5, with standard generators.

%C Generating function is transcendental (by Stoll).

%H M. Stoll, <a href="https://doi.org/10.1007/s002220050090">Rational and transcendental growth series for the higher Heisenberg groups</a>, Invent. math. 126, 85-109 (1996).

%o (Python)

%o print(growthHr(5, 7)) # Function growthHr specified in A396031.

%Y Cf. A063810, A396031, A396032, A396033, A396035, A396036, A396037, A396038, A396039.

%K nonn,more

%O 0,2

%A _Alex Evetts_, May 15 2026

%E a(8)-a(10) from _Sean A. Irvine_, May 23 2026