A016165 Expansion of 1/((1-5*x)*(1-11*x)).

1, 16, 201, 2336, 26321, 292656, 3234841, 35661376, 392665761, 4321276496, 47543807081, 523030706016, 5753581906801, 63290621677936, 696202941972921, 7658262879280256, 84241044259973441, 926652249799160976

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..959
• Index entries for linear recurrences with constant coefficients, signature (16,-55).

Crossrefs

Cf. A016161.

Programs

Magma

[n le 2 select 16^(n-1) else 16*Self(n-1) -55*Self(n-2): n in [1..31]]; // G. C. Greubel, Nov 10 2024

Mathematica

Table[(11^(n+1)-5^(n+1))/6, {n,0,30}] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)
CoefficientList[Series[1/((1-5x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{16,-55},{1,16},30] (* Harvey P. Dale, Nov 24 2021 *)

SageMath

A016165=BinaryRecurrenceSequence(16,-55,1,16)
[A016165(n) for n in range(31)] # G. C. Greubel, Nov 10 2024

Formula

a(n) = (11^(n+1) - 5^(n+1))/6. - Al Hakanson (hawkuu(AT)gmail.com), Jan 07 2009

a(n) = 11*a(n-1) + 5^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

E.g.f.: (1/6)*(11*exp(11*x) - 5*exp(5*x)). - G. C. Greubel, Nov 10 2024