A016183 Expansion of g.f. 1/((1-7*x)*(1-11*x)).

1, 18, 247, 3060, 36061, 413478, 4665907, 52148520, 579398521, 6413737338, 70833585967, 781146772380, 8606455783381, 94767902627598, 1043125151976427, 11479124233250640, 126303599496326641

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (18,-77).

Crossrefs

Cf. A139745.

Formula

a(n) = (11^(n+1) - 7^(n+1))/4. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008; adapted to offset by Michel Marcus, Mar 09 2025

a(n) = 18*a(n-1) - 77*a(n-2). - Philippe Deléham, Jan 01 2009

a(n) = 11*a(n-1) + 7^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

From Elmo R. Oliveira, Mar 09 2025: (Start)

E.g.f.: exp(7*x)*(11*exp(4*x) - 7)/4.

a(n) = A139745(n+1)/4. (End)