A155627 -id:A155627 - cp's OEIS frontend

A155635 8^n+5^n-1.

1, 12, 88, 636, 4720, 35892, 277768, 2175276, 17167840, 136170852, 1083507448, 8638762716, 68963617360, 550976517012, 4404150026728, 35214889666956, 281627564601280, 2252562753138372, 18018213206747608, 144134261562183996

Offset: 0

Mohammad K. Azarian, Jan 30 2009

Index entries for linear recurrences with constant coefficients, signature (14,-53,40).

Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634.

Table[8^n+5^n-1,{n,0,40}] (* or *) LinearRecurrence[{14,-53,40},{1,12,88},40] (* Harvey P. Dale, Jan 17 2017 *)

a(n)=8^n+5^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

G.f.: 1/(1-8*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(8*x)+e^(5*x)-e^x.

a(n)=13*a(n-1)-40*a(n-2)-28 with a(0)=1, a(1)=12 - Vincenzo Librandi, Jul 21 2010

A155636 a(n) = 9^n + 5^n - 1.

Original entry on oeis.org

1, 13, 105, 853, 7185, 62173, 547065, 4861093, 43437345, 389373613, 3496550025, 31429887733, 282673677105, 2543086531453, 22882895970585, 205921649672773, 1853172776742465, 16677944639119693, 150098449994264745, 1350870791159320213, 12157760826488569425, 109419465968670562333

Offset: 0

Mohammad K. Azarian, Jan 30 2009

Paolo Xausa, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (15,-59,45).

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635.

Table[9^n + 5^n - 1, {n, 0, 25}] (* Paolo Xausa, Aug 03 2024 *)

a(n)=9^n+5^n-1 \\ Charles R Greathouse IV, Jun 11 2015

G.f.: 1/(1-9*x)+1/(1-5*x)-1/(1-x).
E.g.f.: exp(9*x)+exp(5*x)-exp(x).
a(n) = 14*a(n-1)-45*a(n-2)-32 with a(0) = 1, a(1) = 13. - Vincenzo Librandi, Jul 21 2010

A155637 a(n) = 10^n+5^n-1.

Original entry on oeis.org

1, 14, 124, 1124, 10624, 103124, 1015624, 10078124, 100390624, 1001953124, 10009765624, 100048828124, 1000244140624, 10001220703124, 100006103515624, 1000030517578124, 10000152587890624, 100000762939453124, 1000003814697265624, 10000019073486328124

Offset: 0

Mohammad K. Azarian, Jan 30 2009

Harvey P. Dale, Table of n, a(n) for n = 0..998
Index entries for linear recurrences with constant coefficients, signature (16,-65,50).

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636.

A155637:=n->10^n+5^n-1; seq(A155637(n), n=0..20); # Wesley Ivan Hurt, Feb 02 2014

Table[10^n+5^n-1,{n,0,20}] (* or *) LinearRecurrence[{16,-65,50},{1,14,124},20] (* Harvey P. Dale, Oct 17 2011 *)

a(n)=10^n+5^n-1 \\ Charles R Greathouse IV, Jun 11 2015

G.f.: 1/(1-10*x)+1/(1-5*x)-1/(1-x).
E.g.f.: e^(10*x)+e^(5*x)-e^x.
a(n) = 15*a(n-1)-50*a(n-2)-36 with a(0)=1, a(1)=14. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=14, a(2)=124, a(n) = 16*a(n-1)-65*a(n-2)+50*a(n-3). - Harvey P. Dale, Oct 17 2011

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A155635 8^n+5^n-1.

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A155636 a(n) = 9^n + 5^n - 1.

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A155637 a(n) = 10^n+5^n-1.

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