A396036 Growth series of higher Heisenberg group H_7, with standard generators.

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

Offset

0,2

Comments

Generating function is transcendental (by Stoll).

Links

Table of n, a(n) for n=0..8.

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

Prog

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

Crossrefs

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

Sequence in context: A271793 A024213 A004415 * A096949 A093974 A121803

Adjacent sequences: A396033 A396034 A396035 * A396037 A396038 A396039

Keyword

nonn,more

Author

Alex Evetts, Jun 09 2026

Extensions

a(8) from Sean A. Irvine, Jun 11 2026

Status

approved