A155619 -id:A155619 - cp's OEIS frontend

A155620 9^n+4^n-1.

1, 12, 96, 792, 6816, 60072, 535536, 4799352, 43112256, 387682632, 3487832976, 31385253912, 282446313696, 2541932937192, 22877060890416, 205892205836472, 1853024483819136, 16677198879535752, 150094704016475856

Offset: 0

Mohammad K. Azarian, Jan 27 2009

Index entries for linear recurrences with constant coefficients, signature (14,-49,36).

A155588, A155599, A155607 - A155619.

LinearRecurrence[{14,-49,36},{1,12,96},30] (* Harvey P. Dale, Feb 02 2015 *)

G.f.: 1/(1-9*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(9*x)+e^(4*x)-e^x.
a(n)=13*a(n-1)-36*a(n-2)-24 with a(0)=1, a(1)=12 [From Vincenzo Librandi, Jul 21 2010]
a(0)=1, a(1)=12, a(2)=96, a(n)=14*a(n-1)-49*a(n-2)+36*a(n-3). - Harvey P. Dale, Feb 02 2015

A155621 10^n+4^n-1^n.

Original entry on oeis.org

1, 13, 115, 1063, 10255, 101023, 1004095, 10016383, 100065535, 1000262143, 10001048575, 100004194303, 1000016777215, 10000067108863, 100000268435455, 1000001073741823, 10000004294967295, 100000017179869183

Offset: 0

Mohammad K. Azarian, Jan 27 2009

nonn

Index entries for linear recurrences with constant coefficients, signature (15,-54,40).

A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616, A155617, A155618, A155619, A155620

LinearRecurrence[{15,-54,40},{1,13,115},20] (* Harvey P. Dale, Oct 24 2016 *)

G.f.: 1/(1-10*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(10*x)+e^(4*x)-e^x.

a(n)=14*a(n-1)-40*a(n-2)-27 with a(0)=1, a(1)=13 [From Vincenzo Librandi, Jul 21 2010]

cp's OEIS Frontend

A155620 9^n+4^n-1.

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