Expansion of 1/G(1) where G(k) = 1 - (q/(1-q))^k / G(k+1).

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =34a(6) =90a(7) =241a(8) =650a(9) =1760a(10) =4777a(11) =12989a(12) =35369a(13) =96419a(14) =263071a(15) =718215a(16) =1961708a(17) =5359970a(18) =14648860a(19) =40043679a(20) =109479810a(21) =299356896a(22) =818630450a(23) =2238827146a(24) =6123220904a(25) =16747896604a(26) =45809670800a(27) =125304652189a(28) =342758051845a(29) =937597571659