A396032 - OEIS

%I #16 May 23 2026 20:23:52

%S 1,12,84,460,1970,7052,21694,58580,141460,311764,639024,1231740,

%T 2250606,3925652,6580722,10663820,16769584,25670356,38361740

%N Growth series of higher Heisenberg group H_3, 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(3, 9)) # Function growthHr specified in A396031.

%Y Cf. A063810, A396031, A396033, A396034, A396035, A396036, A396037, A396038, A396039.

%K nonn,more

%O 0,2

%A _Alex Evetts_, May 14 2026

%E a(10)-a(18) from _Sean A. Irvine_, May 23 2026