A291146 Expansion of 1/(1 - x/(1 - x^8/(1 - x^27/(1 - x^64/(1 - x^125/(1 - x^216/(1 - ... - x^(n^3)/(1 - ...)))))))), a continued fraction.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 18, 23, 29, 36, 44, 53, 64, 78, 96, 119, 148, 184, 228, 281, 345, 423, 519, 639, 788, 973, 1202, 1484, 1830, 2254, 2774, 3415, 4206, 5183, 6390, 7880, 9717, 11979, 14762, 18188, 22408, 27609, 34022, 41931

Offset

0,10

Links

Table of n, a(n) for n=0..56.

Example

G.f. = 1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + 2*x^9 + 3*x^10 + 4*x^11 + 5*x^12 + ...

Crossrefs

Column k=3 of A290771.

Cf. A005169, A206739.

Sequence in context: A017902 A005710 A367800 * A023358 A322855 A322803

Adjacent sequences: A291143 A291144 A291145 * A291147 A291148 A291149

Keyword

nonn

Author

Seiichi Manyama, Aug 18 2017

Status

approved