A396034 Growth series of higher Heisenberg group H_5, with standard generators.

1, 20, 220, 1780, 11282, 59124, 263702, 1022668, 3509204, 10822028, 30434152

Offset

0,2

Comments

Generating function is transcendental (by Stoll).

Links

Table of n, a(n) for n=0..10.

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

Prog

(Python)
print(growthHr(5, 7)) # Function growthHr specified in A396031.

Crossrefs

Cf. A063810, A396031, A396032, A396033, A396035, A396036, A396037, A396038, A396039.

Sequence in context: A341371 A004411 A140354 * A155673 A000833 A302661

Adjacent sequences: A396031 A396032 A396033 * A396035 A396036 A396037

Keyword

nonn,more

Author

Alex Evetts, May 15 2026

Extensions

a(8)-a(10) from Sean A. Irvine, May 23 2026

Status

approved