A396033 Growth series of higher Heisenberg group H_4, with standard generators.

1, 16, 144, 976, 5186, 22864, 86066, 282608, 824196, 2171760, 5256436, 11846160, 25099558, 50379184

Offset

0,2

Comments

Generating function is transcendental (by Stoll).

Links

Table of n, a(n) for n=0..13.

M. Stoll, Rational and transcendental growth series for the higher Heisenberg groups, Invent. math. 126, 85-109 (1996).

Prog

(Python)
print(growthHr(4, 8)) # Function growthHr specified in A396031.

Crossrefs

Cf. A063810, A396031, A396032, A396034, A396035, A396036, A396037, A396038, A396039.

Sequence in context: A004409 A319553 A054851 * A000762 A217711 A086952

Adjacent sequences: A396030 A396031 A396032 * A396034 A396035 A396036

Keyword

nonn,more

Author

Alex Evetts, May 15 2026

Extensions

a(9)-a(13) from Sean A. Irvine, May 23 2026

Status

approved