A083301 -id:A083301 - cp's OEIS frontend

A083300 a(n) = (4*7^n + (-3)^n)/5.

1, 5, 41, 269, 1937, 13397, 94265, 658397, 4613153, 32278949, 225992009, 1581825965, 11073136049, 77510889461, 542579414873, 3798046338173, 26586353065025, 186104385361733, 1302730955812457, 9119115915846221

Offset: 0

Paul Barry, Apr 24 2003

Binomial transform of A083299.

Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (4,21)

Cf. A083301.

[(4*7^n+(-3)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 01 2011

a(n)=(4*7^n+(-3)^n)/5 \\ Charles R Greathouse IV, Oct 07 2015

a(n) = (4*7^n + (-3)^n)/5.
G.f.: (1+x)/((1-7*x)*(1+3*x)).
E.g.f.: (4*exp(7*x) + exp(-3*x))/5.

A083302 a(n) = (4*9^n + (-1)^n)/5.

Original entry on oeis.org

1, 7, 65, 583, 5249, 47239, 425153, 3826375, 34437377, 309936391, 2789427521, 25104847687, 225943629185, 2033492662663, 18301433963969, 164712905675719, 1482416151081473, 13341745359733255, 120075708237599297

Offset: 0

Paul Barry, Apr 24 2003

Binomial transform of A083301.

Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (8,9).

[(4*9^n+(-1)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

a(n)=4*9^n\/5 \\ Charles R Greathouse IV, Jun 29 2011

G.f.: (1-x)/((1-*9x)(1+x)).

E.g.f.: (4*exp(9*x) + exp(-x))/5.

cp's OEIS Frontend

A083300 a(n) = (4*7^n + (-3)^n)/5.

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