A082414 a(n) = (2*10^n + 4^n)/3.

1, 8, 72, 688, 6752, 67008, 668032, 6672128, 66688512, 666754048, 6667016192, 66668064768, 666672259072, 6666689036288, 66666756145152, 666667024580608, 6666668098322432, 66666672393289728, 666666689573158912, 6666666758292635648

Offset

0,2

Comments

Binomial transform of A082413.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..250

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

Formula

G.f.: (1-6*x)/((1-4*x)*(1-10*x)).

E.g.f.: (2*exp(10*x) + exp(4*x))/3.

a(n) = (2*10^n + 4^n)/3.

Maple

seq((2*10^n+4^n)/3, n=0..19); # Nathaniel Johnston, Jun 26 2011

Prog

(PARI) a(n) = (2*10^n+4^n)/3; \\ Altug Alkan, Sep 08 2018

Crossrefs

Cf. A082412, A082413.

Sequence in context: A115970 A078995 A264913 * A145303 A098411 A220741

Adjacent sequences: A082411 A082412 A082413 * A082415 A082416 A082417

Keyword

easy,nonn

Author

Paul Barry, Apr 23 2003

Status

approved