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Growth series of higher Heisenberg group H_7, with standard generators.
8

%I #9 Jun 11 2026 02:33:15

%S 1,28,420,4508,37746,260316,1524014,7738308,34655380

%N Growth series of higher Heisenberg group H_7, with standard generators.

%C Generating function is transcendental (by Stoll).

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

%o (Python)

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

%Y Cf. A063810, A396031, A396032, A396033, A396034, A396035, A396037, A396038, A396039.

%K nonn,more

%O 0,2

%A _Alex Evetts_, Jun 09 2026

%E a(8) from _Sean A. Irvine_, Jun 11 2026