0,2

The initial terms coincide with those of A170739, although the two sequences are eventually different.

First disagreement is at index 32, the difference is 190. - Klaus Brockhaus, Jun 27 2011

Computed with Magma using commands similar to those used to compute A154638.

Index entries for linear recurrences with constant coefficients, signature (18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,-171).

G.f.: (t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(171*t^32 - 18*t^31 - 18*t^30 - 18*t^29 - 18*t^28 - 18*t^27 - 18*t^26 - 18*t^25 - 18*t^24 - 18*t^23 - 18*t^22 - 18*t^21 - 18*t^20 - 18*t^19 - 18*t^18 - 18*t^17 - 18*t^16 - 18*t^15 - 18*t^14 - 18*t^13 - 18*t^12 - 18*t^11 - 18*t^10 - 18*t^9 - 18*t^8 - 18*t^7 - 18*t^6 - 18*t^5 - 18*t^4 - 18*t^3 - 18*t^2 - 18*t + 1).

G.f.: (1+2*sum(k=1..31, x^k)+x^32)/(1-18*sum(k=1..31, x^k)+171*x^32).

coxG[{32, 171, -18}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jan 16 2024 *)

Cf. A170739 (G.f.: (1+x)/(1-19*x) ).

Sequence in context: A170653 A170701 A169369 * A170739 A218722 A358109

Adjacent sequences: A169414 A169415 A169416 * A169418 A169419 A169420

John Cannon and N. J. A. Sloane, Dec 03 2009

a(16)-a(18) from Stefano Spezia, Feb 03 2026

approved