A382369 Expansion of 1/( 1 - 9 * Sum_{k>=0} x^(3^k) / (1 - x^(3^k)) )^(1/3).

1, 3, 21, 168, 1416, 12396, 111219, 1015221, 9386643, 87650775, 824926152, 7813623234, 74403686022, 711670543635, 6833183666862, 65826593737206, 635962416394296, 6159757277793783, 59796182640515031, 581643107427461664, 5667929195670139296, 55322424966010598556

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

G.f. A(x) satisfies A(x) = 1/( 1/A(x^3)^3 - 9*x/(1-x) )^(1/3).

Crossrefs

Cf. A382367, A382368.

Sequence in context: A361375 A371771 A214391 * A370284 A046637 A220103

Adjacent sequences: A382366 A382367 A382368 * A382370 A382371 A382372

Keyword

nonn

Author

Seiichi Manyama, Mar 22 2025

Status

approved