A156675 a(n) = 17*((100^(n+1) - 1)/99).

17, 1717, 171717, 17171717, 1717171717, 171717171717, 17171717171717, 1717171717171717, 171717171717171717, 17171717171717171717, 1717171717171717171717, 171717171717171717171717, 17171717171717171717171717, 1717171717171717171717171717, 171717171717171717171717171717

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (101,-100).

Formula

G.f.: 17/(1 - 101*x + 100*x^2). - Bruno Berselli, Mar 01 2012

From Elmo R. Oliveira, Mar 06 2025: (Start)

E.g.f.: 17*exp(x)*(100*exp(99*x) - 1)/99.

a(n) = 17*A094028(n).

a(n) = 101*a(n-1) - 100*a(n-2). (End)

Mathematica

17*(100^Range[15] - 1)/99 (* Paolo Xausa, Mar 07 2025 *)

Prog

(Magma) [17*((100^(n+1)-1)/99): n in [0..20]]; // Vincenzo Librandi, Mar 01 2012

Crossrefs

Cf. A094028.

Sequence in context: A222905 A071826 A055414 * A276808 A088465 A001905

Adjacent sequences: A156672 A156673 A156674 * A156676 A156677 A156678

Keyword

nonn,easy,changed

Author

Vincenzo Librandi, Feb 15 2009

Extensions

Offset changed to 0 from Vincenzo Librandi, Mar 01 2012

Status

approved