A396032 Growth series of higher Heisenberg group H_3, with standard generators.

1, 12, 84, 460, 1970, 7052, 21694, 58580, 141460, 311764, 639024, 1231740, 2250606, 3925652, 6580722, 10663820, 16769584, 25670356, 38361740

Offset

0,2

Comments

Generating function is transcendental (by Stoll).

Links

Table of n, a(n) for n=0..18.

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

Prog

(Python)
print(growthHr(3, 9)) # Function growthHr specified in A396031.

Crossrefs

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

Sequence in context: A341367 A004407 A054849 * A000761 A174079 A003209

Adjacent sequences: A396029 A396030 A396031 * A396033 A396034 A396035

Keyword

nonn,more

Author

Alex Evetts, May 14 2026

Extensions

a(10)-a(18) from Sean A. Irvine, May 23 2026

Status

approved