A396035 Growth series of higher Heisenberg group H_6, with standard generators.

1, 24, 312, 2936, 21602, 131128, 676330, 3028072, 11970948, 42406440

Offset

0,2

Comments

Generating function is transcendental (by Stoll).

Links

Table of n, a(n) for n=0..9.

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

Prog

(Python)
print(growthHr(6, 5)) # Function growthHr specified in A396031.

Crossrefs

Cf. A063810, A396031, A396032, A396033, A396034, A396036, A396037, A396038, A396039.

Sequence in context: A290939 A004413 A319554 * A069779 A393589 A288507

Adjacent sequences: A396032 A396033 A396034 * A396036 A396037 A396038

Keyword

nonn,more

Author

Alex Evetts, May 15 2026

Extensions

a(6)-a(9) from Sean A. Irvine, May 23 2026

Status

approved