A055102 Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).

1, -3, 6, -7, 3, 6, -17, 24, -21, 6, 21, -54, 77, -72, 24, 64, -159, 216, -190, 57, 159, -392, 534, -468, 144, 381, -924, 1220, -1044, 312, 833, -1992, 2625, -2244, 669, 1746, -4138, 5382, -4530, 1332, 3474, -8184, 10591, -8886, 2607, 6724, -15711

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

G. E. Andrews, Simplicity and surprise in Ramanujan's "Lost" Notebook, Amer. Math. Monthly, 104 (No. 10, Dec. 1997), 918-925.

Formula

a(0) = 1, a(n) = -(3/n)*Sum_{k=1..n} A109091(k)*a(n-k) for n > 0. - Seiichi Manyama, Apr 16 2017

Crossrefs

See A007325 for first power (which has an alternative g.f.), A055101 for square, A055103 for 4th power.

Sequence in context: A065269 A137427 A177035 * A243976 A198457 A264921

Adjacent sequences: A055099 A055100 A055101 * A055103 A055104 A055105

Keyword

sign,easy

Author

N. J. A. Sloane, Jun 14 2000

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 20 2000

Status

approved